What is the Least Common Multiple of 51825 and 51840?

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 51825 and 51840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51825 and 51840, than apply into the LCM equation.

GCF(51825,51840) = 15
LCM(51825,51840) = ( 51825 × 51840) / 15
LCM(51825,51840) = 2686608000 / 15
LCM(51825,51840) = 179107200

Least Common Multiple (LCM) of 51825 and 51840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51825 and 51840. First we will calculate the prime factors of 51825 and 51840.

Prime Factorization of 51825

Prime Factorization of 51840

Now multiplying the highest exponent prime factors to calculate the LCM of 51825 and 51840.

LCM(51825,51840) = 3⁴ × 5² × 691¹ × 2⁷
LCM(51825,51840) = 179107200