What is the Least Common Multiple of 56980 and 57000?

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 56980 and 57000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56980 and 57000, than apply into the LCM equation.

GCF(56980,57000) = 20
LCM(56980,57000) = ( 56980 × 57000) / 20
LCM(56980,57000) = 3247860000 / 20
LCM(56980,57000) = 162393000

Least Common Multiple (LCM) of 56980 and 57000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56980 and 57000. First we will calculate the prime factors of 56980 and 57000.

Prime Factorization of 56980

Prime Factorization of 57000

Now multiplying the highest exponent prime factors to calculate the LCM of 56980 and 57000.

LCM(56980,57000) = 2³ × 5³ × 7¹ × 11¹ × 37¹ × 3¹ × 19¹
LCM(56980,57000) = 162393000