What is the Least Common Multiple of 56424 and 56440?

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 56424 and 56440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56424 and 56440, than apply into the LCM equation.

GCF(56424,56440) = 8
LCM(56424,56440) = ( 56424 × 56440) / 8
LCM(56424,56440) = 3184570560 / 8
LCM(56424,56440) = 398071320

Least Common Multiple (LCM) of 56424 and 56440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56424 and 56440. First we will calculate the prime factors of 56424 and 56440.

Prime Factorization of 56424

Prime Factorization of 56440

Now multiplying the highest exponent prime factors to calculate the LCM of 56424 and 56440.

LCM(56424,56440) = 2³ × 3¹ × 2351¹ × 5¹ × 17¹ × 83¹
LCM(56424,56440) = 398071320