What is the Least Common Multiple of 56408 and 56424?

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 56408 and 56424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56408 and 56424, than apply into the LCM equation.

GCF(56408,56424) = 8
LCM(56408,56424) = ( 56408 × 56424) / 8
LCM(56408,56424) = 3182764992 / 8
LCM(56408,56424) = 397845624

Least Common Multiple (LCM) of 56408 and 56424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56408 and 56424. First we will calculate the prime factors of 56408 and 56424.

Prime Factorization of 56408

Prime Factorization of 56424

Now multiplying the highest exponent prime factors to calculate the LCM of 56408 and 56424.

LCM(56408,56424) = 2³ × 11¹ × 641¹ × 3¹ × 2351¹
LCM(56408,56424) = 397845624