What is the Least Common Multiple of 77514 and 77528?

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 77514 and 77528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77514 and 77528, than apply into the LCM equation.

GCF(77514,77528) = 2
LCM(77514,77528) = ( 77514 × 77528) / 2
LCM(77514,77528) = 6009505392 / 2
LCM(77514,77528) = 3004752696

Least Common Multiple (LCM) of 77514 and 77528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77514 and 77528. First we will calculate the prime factors of 77514 and 77528.

Prime Factorization of 77514

Prime Factorization of 77528

Now multiplying the highest exponent prime factors to calculate the LCM of 77514 and 77528.

LCM(77514,77528) = 2³ × 3¹ × 12919¹ × 11¹ × 881¹
LCM(77514,77528) = 3004752696