What is the Least Common Multiple of 74567 and 74580?

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 74567 and 74580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74567 and 74580, than apply into the LCM equation.

GCF(74567,74580) = 1
LCM(74567,74580) = ( 74567 × 74580) / 1
LCM(74567,74580) = 5561206860 / 1
LCM(74567,74580) = 5561206860

Least Common Multiple (LCM) of 74567 and 74580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74567 and 74580. First we will calculate the prime factors of 74567 and 74580.

Prime Factorization of 74567

Prime Factorization of 74580

Now multiplying the highest exponent prime factors to calculate the LCM of 74567 and 74580.

LCM(74567,74580) = 74567¹ × 2² × 3¹ × 5¹ × 11¹ × 113¹
LCM(74567,74580) = 5561206860