What is the Least Common Multiple of 54369 and 54376?

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 54369 and 54376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54369 and 54376, than apply into the LCM equation.

GCF(54369,54376) = 7
LCM(54369,54376) = ( 54369 × 54376) / 7
LCM(54369,54376) = 2956368744 / 7
LCM(54369,54376) = 422338392

Least Common Multiple (LCM) of 54369 and 54376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54369 and 54376. First we will calculate the prime factors of 54369 and 54376.

Prime Factorization of 54369

Prime Factorization of 54376

Now multiplying the highest exponent prime factors to calculate the LCM of 54369 and 54376.

LCM(54369,54376) = 3² × 7¹ × 863¹ × 2³ × 971¹
LCM(54369,54376) = 422338392