What is the Least Common Multiple of 64428 and 64442?

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 64442 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 64442, than apply into the LCM equation.

GCF(64428,64442) = 14
LCM(64428,64442) = ( 64428 × 64442) / 14
LCM(64428,64442) = 4151869176 / 14
LCM(64428,64442) = 296562084

Least Common Multiple (LCM) of 64428 and 64442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64428 and 64442. First we will calculate the prime factors of 64428 and 64442.

Prime Factorization of 64428

Prime Factorization of 64442

Now multiplying the highest exponent prime factors to calculate the LCM of 64428 and 64442.

LCM(64428,64442) = 2² × 3¹ × 7¹ × 13¹ × 59¹ × 4603¹
LCM(64428,64442) = 296562084