What is the Least Common Multiple of 57280 and 57300?

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 57280 and 57300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57280 and 57300, than apply into the LCM equation.

GCF(57280,57300) = 20
LCM(57280,57300) = ( 57280 × 57300) / 20
LCM(57280,57300) = 3282144000 / 20
LCM(57280,57300) = 164107200

Least Common Multiple (LCM) of 57280 and 57300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57280 and 57300. First we will calculate the prime factors of 57280 and 57300.

Prime Factorization of 57280

Prime Factorization of 57300

Now multiplying the highest exponent prime factors to calculate the LCM of 57280 and 57300.

LCM(57280,57300) = 2⁶ × 5² × 179¹ × 3¹ × 191¹
LCM(57280,57300) = 164107200