What is the Least Common Multiple of 57879 and 57894?

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 57879 and 57894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57879 and 57894, than apply into the LCM equation.

GCF(57879,57894) = 3
LCM(57879,57894) = ( 57879 × 57894) / 3
LCM(57879,57894) = 3350846826 / 3
LCM(57879,57894) = 1116948942

Least Common Multiple (LCM) of 57879 and 57894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57879 and 57894. First we will calculate the prime factors of 57879 and 57894.

Prime Factorization of 57879

Prime Factorization of 57894

Now multiplying the highest exponent prime factors to calculate the LCM of 57879 and 57894.

LCM(57879,57894) = 3² × 59¹ × 109¹ × 2¹ × 9649¹
LCM(57879,57894) = 1116948942