What is the Least Common Multiple of 77508 and 77516?

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 77508 and 77516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77508 and 77516, than apply into the LCM equation.

GCF(77508,77516) = 4
LCM(77508,77516) = ( 77508 × 77516) / 4
LCM(77508,77516) = 6008110128 / 4
LCM(77508,77516) = 1502027532

Least Common Multiple (LCM) of 77508 and 77516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77508 and 77516. First we will calculate the prime factors of 77508 and 77516.

Prime Factorization of 77508

Prime Factorization of 77516

Now multiplying the highest exponent prime factors to calculate the LCM of 77508 and 77516.

LCM(77508,77516) = 2² × 3² × 2153¹ × 19379¹
LCM(77508,77516) = 1502027532