What is the Least Common Multiple of 77544 and 77564?

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 77544 and 77564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77544 and 77564, than apply into the LCM equation.

GCF(77544,77564) = 4
LCM(77544,77564) = ( 77544 × 77564) / 4
LCM(77544,77564) = 6014622816 / 4
LCM(77544,77564) = 1503655704

Least Common Multiple (LCM) of 77544 and 77564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77544 and 77564. First we will calculate the prime factors of 77544 and 77564.

Prime Factorization of 77544

Prime Factorization of 77564

Now multiplying the highest exponent prime factors to calculate the LCM of 77544 and 77564.

LCM(77544,77564) = 2³ × 3³ × 359¹ × 19391¹
LCM(77544,77564) = 1503655704