What is the Least Common Multiple of 75408 and 75425?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 75408 and 75425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75408 and 75425, than apply into the LCM equation.

GCF(75408,75425) = 1
LCM(75408,75425) = ( 75408 × 75425) / 1
LCM(75408,75425) = 5687648400 / 1
LCM(75408,75425) = 5687648400

Least Common Multiple (LCM) of 75408 and 75425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75408 and 75425. First we will calculate the prime factors of 75408 and 75425.

Prime Factorization of 75408

Prime Factorization of 75425

Now multiplying the highest exponent prime factors to calculate the LCM of 75408 and 75425.

LCM(75408,75425) = 2⁴ × 3¹ × 1571¹ × 5² × 7¹ × 431¹
LCM(75408,75425) = 5687648400