What is the Least Common Multiple of 54700 and 54707?

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 54700 and 54707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54700 and 54707, than apply into the LCM equation.

GCF(54700,54707) = 1
LCM(54700,54707) = ( 54700 × 54707) / 1
LCM(54700,54707) = 2992472900 / 1
LCM(54700,54707) = 2992472900

Least Common Multiple (LCM) of 54700 and 54707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54700 and 54707. First we will calculate the prime factors of 54700 and 54707.

Prime Factorization of 54700

Prime Factorization of 54707

Now multiplying the highest exponent prime factors to calculate the LCM of 54700 and 54707.

LCM(54700,54707) = 2² × 5² × 547¹ × 227¹ × 241¹
LCM(54700,54707) = 2992472900