What is the Least Common Multiple of 77304 and 77312?

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 77304 and 77312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77304 and 77312, than apply into the LCM equation.

GCF(77304,77312) = 8
LCM(77304,77312) = ( 77304 × 77312) / 8
LCM(77304,77312) = 5976526848 / 8
LCM(77304,77312) = 747065856

Least Common Multiple (LCM) of 77304 and 77312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77304 and 77312. First we will calculate the prime factors of 77304 and 77312.

Prime Factorization of 77304

Prime Factorization of 77312

Now multiplying the highest exponent prime factors to calculate the LCM of 77304 and 77312.

LCM(77304,77312) = 2⁹ × 3¹ × 3221¹ × 151¹
LCM(77304,77312) = 747065856