What is the Least Common Multiple of 77268 and 77288?

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 77268 and 77288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77268 and 77288, than apply into the LCM equation.

GCF(77268,77288) = 4
LCM(77268,77288) = ( 77268 × 77288) / 4
LCM(77268,77288) = 5971889184 / 4
LCM(77268,77288) = 1492972296

Least Common Multiple (LCM) of 77268 and 77288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77268 and 77288. First we will calculate the prime factors of 77268 and 77288.

Prime Factorization of 77268

Prime Factorization of 77288

Now multiplying the highest exponent prime factors to calculate the LCM of 77268 and 77288.

LCM(77268,77288) = 2³ × 3¹ × 47¹ × 137¹ × 9661¹
LCM(77268,77288) = 1492972296