What is the Least Common Multiple of 56448 and 56460?

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 56448 and 56460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56448 and 56460, than apply into the LCM equation.

GCF(56448,56460) = 12
LCM(56448,56460) = ( 56448 × 56460) / 12
LCM(56448,56460) = 3187054080 / 12
LCM(56448,56460) = 265587840

Least Common Multiple (LCM) of 56448 and 56460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56448 and 56460. First we will calculate the prime factors of 56448 and 56460.

Prime Factorization of 56448

Prime Factorization of 56460

Now multiplying the highest exponent prime factors to calculate the LCM of 56448 and 56460.

LCM(56448,56460) = 2⁷ × 3² × 7² × 5¹ × 941¹
LCM(56448,56460) = 265587840