What is the Least Common Multiple of 63372 and 63386?

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 63372 and 63386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63372 and 63386, than apply into the LCM equation.

GCF(63372,63386) = 2
LCM(63372,63386) = ( 63372 × 63386) / 2
LCM(63372,63386) = 4016897592 / 2
LCM(63372,63386) = 2008448796

Least Common Multiple (LCM) of 63372 and 63386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63372 and 63386. First we will calculate the prime factors of 63372 and 63386.

Prime Factorization of 63372

Prime Factorization of 63386

Now multiplying the highest exponent prime factors to calculate the LCM of 63372 and 63386.

LCM(63372,63386) = 2² × 3¹ × 5281¹ × 41¹ × 773¹
LCM(63372,63386) = 2008448796