What is the Least Common Multiple of 51540 and 51552?

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 51540 and 51552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51540 and 51552, than apply into the LCM equation.

GCF(51540,51552) = 12
LCM(51540,51552) = ( 51540 × 51552) / 12
LCM(51540,51552) = 2656990080 / 12
LCM(51540,51552) = 221415840

Least Common Multiple (LCM) of 51540 and 51552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51540 and 51552. First we will calculate the prime factors of 51540 and 51552.

Prime Factorization of 51540

Prime Factorization of 51552

Now multiplying the highest exponent prime factors to calculate the LCM of 51540 and 51552.

LCM(51540,51552) = 2⁵ × 3² × 5¹ × 859¹ × 179¹
LCM(51540,51552) = 221415840