What is the Least Common Multiple of 56474 and 56480?

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 56474 and 56480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56474 and 56480, than apply into the LCM equation.

GCF(56474,56480) = 2
LCM(56474,56480) = ( 56474 × 56480) / 2
LCM(56474,56480) = 3189651520 / 2
LCM(56474,56480) = 1594825760

Least Common Multiple (LCM) of 56474 and 56480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56474 and 56480. First we will calculate the prime factors of 56474 and 56480.

Prime Factorization of 56474

Prime Factorization of 56480

Now multiplying the highest exponent prime factors to calculate the LCM of 56474 and 56480.

LCM(56474,56480) = 2⁵ × 11¹ × 17¹ × 151¹ × 5¹ × 353¹
LCM(56474,56480) = 1594825760