What is the Least Common Multiple of 56354 and 56368?

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 56354 and 56368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56354 and 56368, than apply into the LCM equation.

GCF(56354,56368) = 2
LCM(56354,56368) = ( 56354 × 56368) / 2
LCM(56354,56368) = 3176562272 / 2
LCM(56354,56368) = 1588281136

Least Common Multiple (LCM) of 56354 and 56368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56354 and 56368. First we will calculate the prime factors of 56354 and 56368.

Prime Factorization of 56354

Prime Factorization of 56368

Now multiplying the highest exponent prime factors to calculate the LCM of 56354 and 56368.

LCM(56354,56368) = 2⁴ × 19¹ × 1483¹ × 13¹ × 271¹
LCM(56354,56368) = 1588281136