What is the Least Common Multiple of 63931 and 63938?

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 63931 and 63938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63931 and 63938, than apply into the LCM equation.

GCF(63931,63938) = 7
LCM(63931,63938) = ( 63931 × 63938) / 7
LCM(63931,63938) = 4087620278 / 7
LCM(63931,63938) = 583945754

Least Common Multiple (LCM) of 63931 and 63938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63931 and 63938. First we will calculate the prime factors of 63931 and 63938.

Prime Factorization of 63931

Prime Factorization of 63938

Now multiplying the highest exponent prime factors to calculate the LCM of 63931 and 63938.

LCM(63931,63938) = 7¹ × 9133¹ × 2¹ × 4567¹
LCM(63931,63938) = 583945754