What is the Least Common Multiple of 47407 and 47425?

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 47407 and 47425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47407 and 47425, than apply into the LCM equation.

GCF(47407,47425) = 1
LCM(47407,47425) = ( 47407 × 47425) / 1
LCM(47407,47425) = 2248276975 / 1
LCM(47407,47425) = 2248276975

Least Common Multiple (LCM) of 47407 and 47425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47407 and 47425. First we will calculate the prime factors of 47407 and 47425.

Prime Factorization of 47407

Prime Factorization of 47425

Now multiplying the highest exponent prime factors to calculate the LCM of 47407 and 47425.

LCM(47407,47425) = 47407¹ × 5² × 7¹ × 271¹
LCM(47407,47425) = 2248276975