What is the Least Common Multiple of 63940 and 63955?

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 63940 and 63955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63940 and 63955, than apply into the LCM equation.

GCF(63940,63955) = 5
LCM(63940,63955) = ( 63940 × 63955) / 5
LCM(63940,63955) = 4089282700 / 5
LCM(63940,63955) = 817856540

Least Common Multiple (LCM) of 63940 and 63955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63940 and 63955. First we will calculate the prime factors of 63940 and 63955.

Prime Factorization of 63940

Prime Factorization of 63955

Now multiplying the highest exponent prime factors to calculate the LCM of 63940 and 63955.

LCM(63940,63955) = 2² × 5¹ × 23¹ × 139¹ × 12791¹
LCM(63940,63955) = 817856540