What is the Least Common Multiple of 51840 and 51852?

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 51840 and 51852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51840 and 51852, than apply into the LCM equation.

GCF(51840,51852) = 12
LCM(51840,51852) = ( 51840 × 51852) / 12
LCM(51840,51852) = 2688007680 / 12
LCM(51840,51852) = 224000640

Least Common Multiple (LCM) of 51840 and 51852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51840 and 51852. First we will calculate the prime factors of 51840 and 51852.

Prime Factorization of 51840

Prime Factorization of 51852

Now multiplying the highest exponent prime factors to calculate the LCM of 51840 and 51852.

LCM(51840,51852) = 2⁷ × 3⁴ × 5¹ × 29¹ × 149¹
LCM(51840,51852) = 224000640