What is the Least Common Multiple of 54348 and 54362?

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 54348 and 54362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54348 and 54362, than apply into the LCM equation.

GCF(54348,54362) = 14
LCM(54348,54362) = ( 54348 × 54362) / 14
LCM(54348,54362) = 2954465976 / 14
LCM(54348,54362) = 211033284

Least Common Multiple (LCM) of 54348 and 54362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54348 and 54362. First we will calculate the prime factors of 54348 and 54362.

Prime Factorization of 54348

Prime Factorization of 54362

Now multiplying the highest exponent prime factors to calculate the LCM of 54348 and 54362.

LCM(54348,54362) = 2² × 3¹ × 7¹ × 647¹ × 11¹ × 353¹
LCM(54348,54362) = 211033284