What is the Least Common Multiple of 57472 and 57480?

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 57472 and 57480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57472 and 57480, than apply into the LCM equation.

GCF(57472,57480) = 8
LCM(57472,57480) = ( 57472 × 57480) / 8
LCM(57472,57480) = 3303490560 / 8
LCM(57472,57480) = 412936320

Least Common Multiple (LCM) of 57472 and 57480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57472 and 57480. First we will calculate the prime factors of 57472 and 57480.

Prime Factorization of 57472

Prime Factorization of 57480

Now multiplying the highest exponent prime factors to calculate the LCM of 57472 and 57480.

LCM(57472,57480) = 2⁷ × 449¹ × 3¹ × 5¹ × 479¹
LCM(57472,57480) = 412936320