What is the Least Common Multiple of 15506 and 15516?

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 15506 and 15516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15506 and 15516, than apply into the LCM equation.

GCF(15506,15516) = 2
LCM(15506,15516) = ( 15506 × 15516) / 2
LCM(15506,15516) = 240591096 / 2
LCM(15506,15516) = 120295548

Least Common Multiple (LCM) of 15506 and 15516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15506 and 15516. First we will calculate the prime factors of 15506 and 15516.

Prime Factorization of 15506

Prime Factorization of 15516

Now multiplying the highest exponent prime factors to calculate the LCM of 15506 and 15516.

LCM(15506,15516) = 2² × 7753¹ × 3² × 431¹
LCM(15506,15516) = 120295548