What is the Least Common Multiple of 53686 and 53700?

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 53686 and 53700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53686 and 53700, than apply into the LCM equation.

GCF(53686,53700) = 2
LCM(53686,53700) = ( 53686 × 53700) / 2
LCM(53686,53700) = 2882938200 / 2
LCM(53686,53700) = 1441469100

Least Common Multiple (LCM) of 53686 and 53700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53686 and 53700. First we will calculate the prime factors of 53686 and 53700.

Prime Factorization of 53686

Prime Factorization of 53700

Now multiplying the highest exponent prime factors to calculate the LCM of 53686 and 53700.

LCM(53686,53700) = 2² × 17¹ × 1579¹ × 3¹ × 5² × 179¹
LCM(53686,53700) = 1441469100