What is the Least Common Multiple of 56464 and 56472?

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 56464 and 56472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56464 and 56472, than apply into the LCM equation.

GCF(56464,56472) = 8
LCM(56464,56472) = ( 56464 × 56472) / 8
LCM(56464,56472) = 3188635008 / 8
LCM(56464,56472) = 398579376

Least Common Multiple (LCM) of 56464 and 56472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56464 and 56472. First we will calculate the prime factors of 56464 and 56472.

Prime Factorization of 56464

Prime Factorization of 56472

Now multiplying the highest exponent prime factors to calculate the LCM of 56464 and 56472.

LCM(56464,56472) = 2⁴ × 3529¹ × 3¹ × 13¹ × 181¹
LCM(56464,56472) = 398579376