What is the Least Common Multiple of 74665 and 74684?

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 74665 and 74684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74665 and 74684, than apply into the LCM equation.

GCF(74665,74684) = 1
LCM(74665,74684) = ( 74665 × 74684) / 1
LCM(74665,74684) = 5576280860 / 1
LCM(74665,74684) = 5576280860

Least Common Multiple (LCM) of 74665 and 74684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74665 and 74684. First we will calculate the prime factors of 74665 and 74684.

Prime Factorization of 74665

Prime Factorization of 74684

Now multiplying the highest exponent prime factors to calculate the LCM of 74665 and 74684.

LCM(74665,74684) = 5¹ × 109¹ × 137¹ × 2² × 18671¹
LCM(74665,74684) = 5576280860