Prime Factorization:

25 = 5 * 5

75 = 3 * 5 * 5

LCM = 3 * 5 * 5 = 75

Since 75 is a multiple of 25, their LCM has to be 75.

Reduction through Greatest Common Denominator:

LCM = (a * b) / gcd(a,b)

GCD(25,75) = 25

LCM = 25 * 75 / 25

LCM = 1875 / 25

LCM = 75

25 = 5 * 5

75 = 3 * 5 * 5

LCM = 3 * 5 * 5 = 75

Since 75 is a multiple of 25, their LCM has to be 75.

Reduction through Greatest Common Denominator:

LCM = (a * b) / gcd(a,b)

GCD(25,75) = 25

LCM = 25 * 75 / 25

LCM = 1875 / 25

LCM = 75