What is the Least Common Multiple of 57500 and 57506?

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 57500 and 57506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57500 and 57506, than apply into the LCM equation.

GCF(57500,57506) = 2
LCM(57500,57506) = ( 57500 × 57506) / 2
LCM(57500,57506) = 3306595000 / 2
LCM(57500,57506) = 1653297500

Least Common Multiple (LCM) of 57500 and 57506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57500 and 57506. First we will calculate the prime factors of 57500 and 57506.

Prime Factorization of 57500

Prime Factorization of 57506

Now multiplying the highest exponent prime factors to calculate the LCM of 57500 and 57506.

LCM(57500,57506) = 2² × 5⁴ × 23¹ × 28753¹
LCM(57500,57506) = 1653297500