What is the Least Common Multiple of 57460 and 57472?

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 57460 and 57472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57460 and 57472, than apply into the LCM equation.

GCF(57460,57472) = 4
LCM(57460,57472) = ( 57460 × 57472) / 4
LCM(57460,57472) = 3302341120 / 4
LCM(57460,57472) = 825585280

Least Common Multiple (LCM) of 57460 and 57472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57460 and 57472. First we will calculate the prime factors of 57460 and 57472.

Prime Factorization of 57460

Prime Factorization of 57472

Now multiplying the highest exponent prime factors to calculate the LCM of 57460 and 57472.

LCM(57460,57472) = 2⁷ × 5¹ × 13² × 17¹ × 449¹
LCM(57460,57472) = 825585280