What is the Least Common Multiple of 56904 and 56919?

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 56904 and 56919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56904 and 56919, than apply into the LCM equation.

GCF(56904,56919) = 3
LCM(56904,56919) = ( 56904 × 56919) / 3
LCM(56904,56919) = 3238918776 / 3
LCM(56904,56919) = 1079639592

Least Common Multiple (LCM) of 56904 and 56919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56904 and 56919. First we will calculate the prime factors of 56904 and 56919.

Prime Factorization of 56904

Prime Factorization of 56919

Now multiplying the highest exponent prime factors to calculate the LCM of 56904 and 56919.

LCM(56904,56919) = 2³ × 3¹ × 2371¹ × 18973¹
LCM(56904,56919) = 1079639592