What is the Least Common Multiple of 56860 and 56878?

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 56860 and 56878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56860 and 56878, than apply into the LCM equation.

GCF(56860,56878) = 2
LCM(56860,56878) = ( 56860 × 56878) / 2
LCM(56860,56878) = 3234083080 / 2
LCM(56860,56878) = 1617041540

Least Common Multiple (LCM) of 56860 and 56878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56860 and 56878. First we will calculate the prime factors of 56860 and 56878.

Prime Factorization of 56860

Prime Factorization of 56878

Now multiplying the highest exponent prime factors to calculate the LCM of 56860 and 56878.

LCM(56860,56878) = 2² × 5¹ × 2843¹ × 28439¹
LCM(56860,56878) = 1617041540