What is the Least Common Multiple of 77640 and 77645?

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 77640 and 77645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77640 and 77645, than apply into the LCM equation.

GCF(77640,77645) = 5
LCM(77640,77645) = ( 77640 × 77645) / 5
LCM(77640,77645) = 6028357800 / 5
LCM(77640,77645) = 1205671560

Least Common Multiple (LCM) of 77640 and 77645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77640 and 77645. First we will calculate the prime factors of 77640 and 77645.

Prime Factorization of 77640

Prime Factorization of 77645

Now multiplying the highest exponent prime factors to calculate the LCM of 77640 and 77645.

LCM(77640,77645) = 2³ × 3¹ × 5¹ × 647¹ × 53¹ × 293¹
LCM(77640,77645) = 1205671560