What is the Least Common Multiple of 63908 and 63921?

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 63908 and 63921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63908 and 63921, than apply into the LCM equation.

GCF(63908,63921) = 13
LCM(63908,63921) = ( 63908 × 63921) / 13
LCM(63908,63921) = 4085063268 / 13
LCM(63908,63921) = 314235636

Least Common Multiple (LCM) of 63908 and 63921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63908 and 63921. First we will calculate the prime factors of 63908 and 63921.

Prime Factorization of 63908

Prime Factorization of 63921

Now multiplying the highest exponent prime factors to calculate the LCM of 63908 and 63921.

LCM(63908,63921) = 2² × 13¹ × 1229¹ × 3¹ × 11¹ × 149¹
LCM(63908,63921) = 314235636