What is the Least Common Multiple of 64428 and 64441?

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 64428 and 64441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64428 and 64441, than apply into the LCM equation.

GCF(64428,64441) = 13
LCM(64428,64441) = ( 64428 × 64441) / 13
LCM(64428,64441) = 4151804748 / 13
LCM(64428,64441) = 319369596

Least Common Multiple (LCM) of 64428 and 64441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64428 and 64441. First we will calculate the prime factors of 64428 and 64441.

Prime Factorization of 64428

Prime Factorization of 64441

Now multiplying the highest exponent prime factors to calculate the LCM of 64428 and 64441.

LCM(64428,64441) = 2² × 3¹ × 7¹ × 13¹ × 59¹ × 4957¹
LCM(64428,64441) = 319369596