What is the Least Common Multiple of 10536 and 10552?

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 10536 and 10552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10536 and 10552, than apply into the LCM equation.

GCF(10536,10552) = 8
LCM(10536,10552) = ( 10536 × 10552) / 8
LCM(10536,10552) = 111175872 / 8
LCM(10536,10552) = 13896984

Least Common Multiple (LCM) of 10536 and 10552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10536 and 10552. First we will calculate the prime factors of 10536 and 10552.

Prime Factorization of 10536

Prime Factorization of 10552

Now multiplying the highest exponent prime factors to calculate the LCM of 10536 and 10552.

LCM(10536,10552) = 2³ × 3¹ × 439¹ × 1319¹
LCM(10536,10552) = 13896984