What is the Least Common Multiple of 74684 and 74698?

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 74684 and 74698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74684 and 74698, than apply into the LCM equation.

GCF(74684,74698) = 2
LCM(74684,74698) = ( 74684 × 74698) / 2
LCM(74684,74698) = 5578745432 / 2
LCM(74684,74698) = 2789372716

Least Common Multiple (LCM) of 74684 and 74698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74684 and 74698. First we will calculate the prime factors of 74684 and 74698.

Prime Factorization of 74684

Prime Factorization of 74698

Now multiplying the highest exponent prime factors to calculate the LCM of 74684 and 74698.

LCM(74684,74698) = 2² × 18671¹ × 13³ × 17¹
LCM(74684,74698) = 2789372716