What is the Least Common Multiple of 54488 and 54493?

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 54488 and 54493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54488 and 54493, than apply into the LCM equation.

GCF(54488,54493) = 1
LCM(54488,54493) = ( 54488 × 54493) / 1
LCM(54488,54493) = 2969214584 / 1
LCM(54488,54493) = 2969214584

Least Common Multiple (LCM) of 54488 and 54493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54488 and 54493. First we will calculate the prime factors of 54488 and 54493.

Prime Factorization of 54488

Prime Factorization of 54493

Now multiplying the highest exponent prime factors to calculate the LCM of 54488 and 54493.

LCM(54488,54493) = 2³ × 7² × 139¹ × 54493¹
LCM(54488,54493) = 2969214584