What is the Least Common Multiple of 54348 and 54355?

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 54355 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 54355, than apply into the LCM equation.

GCF(54348,54355) = 7
LCM(54348,54355) = ( 54348 × 54355) / 7
LCM(54348,54355) = 2954085540 / 7
LCM(54348,54355) = 422012220

Least Common Multiple (LCM) of 54348 and 54355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54348 and 54355. First we will calculate the prime factors of 54348 and 54355.

Prime Factorization of 54348

Prime Factorization of 54355

Now multiplying the highest exponent prime factors to calculate the LCM of 54348 and 54355.

LCM(54348,54355) = 2² × 3¹ × 7¹ × 647¹ × 5¹ × 1553¹
LCM(54348,54355) = 422012220