What is the Least Common Multiple of 74868 and 74877?

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 74868 and 74877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74868 and 74877, than apply into the LCM equation.

GCF(74868,74877) = 3
LCM(74868,74877) = ( 74868 × 74877) / 3
LCM(74868,74877) = 5605891236 / 3
LCM(74868,74877) = 1868630412

Least Common Multiple (LCM) of 74868 and 74877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74868 and 74877. First we will calculate the prime factors of 74868 and 74877.

Prime Factorization of 74868

Prime Factorization of 74877

Now multiplying the highest exponent prime factors to calculate the LCM of 74868 and 74877.

LCM(74868,74877) = 2² × 3¹ × 17¹ × 367¹ × 11¹ × 2269¹
LCM(74868,74877) = 1868630412