What is the Least Common Multiple of 51675 and 51684?

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 51675 and 51684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51675 and 51684, than apply into the LCM equation.

GCF(51675,51684) = 3
LCM(51675,51684) = ( 51675 × 51684) / 3
LCM(51675,51684) = 2670770700 / 3
LCM(51675,51684) = 890256900

Least Common Multiple (LCM) of 51675 and 51684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51675 and 51684. First we will calculate the prime factors of 51675 and 51684.

Prime Factorization of 51675

Prime Factorization of 51684

Now multiplying the highest exponent prime factors to calculate the LCM of 51675 and 51684.

LCM(51675,51684) = 3¹ × 5² × 13¹ × 53¹ × 2² × 59¹ × 73¹
LCM(51675,51684) = 890256900