What is the Least Common Multiple of 77304 and 77308?

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 77308 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 77308, than apply into the LCM equation.

GCF(77304,77308) = 4
LCM(77304,77308) = ( 77304 × 77308) / 4
LCM(77304,77308) = 5976217632 / 4
LCM(77304,77308) = 1494054408

Least Common Multiple (LCM) of 77304 and 77308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77304 and 77308. First we will calculate the prime factors of 77304 and 77308.

Prime Factorization of 77304

Prime Factorization of 77308

Now multiplying the highest exponent prime factors to calculate the LCM of 77304 and 77308.

LCM(77304,77308) = 2³ × 3¹ × 3221¹ × 7¹ × 11¹ × 251¹
LCM(77304,77308) = 1494054408