What is the Least Common Multiple of 54345 and 54357?

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 54345 and 54357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54345 and 54357, than apply into the LCM equation.

GCF(54345,54357) = 3
LCM(54345,54357) = ( 54345 × 54357) / 3
LCM(54345,54357) = 2954031165 / 3
LCM(54345,54357) = 984677055

Least Common Multiple (LCM) of 54345 and 54357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54345 and 54357. First we will calculate the prime factors of 54345 and 54357.

Prime Factorization of 54345

Prime Factorization of 54357

Now multiplying the highest exponent prime factors to calculate the LCM of 54345 and 54357.

LCM(54345,54357) = 3¹ × 5¹ × 3623¹ × 18119¹
LCM(54345,54357) = 984677055