What is the Least Common Multiple of 55358 and 55378?

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 55358 and 55378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55358 and 55378, than apply into the LCM equation.

GCF(55358,55378) = 2
LCM(55358,55378) = ( 55358 × 55378) / 2
LCM(55358,55378) = 3065615324 / 2
LCM(55358,55378) = 1532807662

Least Common Multiple (LCM) of 55358 and 55378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55358 and 55378. First we will calculate the prime factors of 55358 and 55378.

Prime Factorization of 55358

Prime Factorization of 55378

Now multiplying the highest exponent prime factors to calculate the LCM of 55358 and 55378.

LCM(55358,55378) = 2¹ × 89¹ × 311¹ × 27689¹
LCM(55358,55378) = 1532807662