What is the Least Common Multiple of 64415 and 64428?

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 64415 and 64428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64415 and 64428, than apply into the LCM equation.

GCF(64415,64428) = 13
LCM(64415,64428) = ( 64415 × 64428) / 13
LCM(64415,64428) = 4150129620 / 13
LCM(64415,64428) = 319240740

Least Common Multiple (LCM) of 64415 and 64428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64415 and 64428. First we will calculate the prime factors of 64415 and 64428.

Prime Factorization of 64415

Prime Factorization of 64428

Now multiplying the highest exponent prime factors to calculate the LCM of 64415 and 64428.

LCM(64415,64428) = 5¹ × 13¹ × 991¹ × 2² × 3¹ × 7¹ × 59¹
LCM(64415,64428) = 319240740