What is the Least Common Multiple of 74566 and 74581?

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 74566 and 74581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74566 and 74581, than apply into the LCM equation.

GCF(74566,74581) = 1
LCM(74566,74581) = ( 74566 × 74581) / 1
LCM(74566,74581) = 5561206846 / 1
LCM(74566,74581) = 5561206846

Least Common Multiple (LCM) of 74566 and 74581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74566 and 74581. First we will calculate the prime factors of 74566 and 74581.

Prime Factorization of 74566

Prime Factorization of 74581

Now multiplying the highest exponent prime factors to calculate the LCM of 74566 and 74581.

LCM(74566,74581) = 2¹ × 23¹ × 1621¹ × 13¹ × 5737¹
LCM(74566,74581) = 5561206846