What is the Least Common Multiple of 74584 and 74588?

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 74584 and 74588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74584 and 74588, than apply into the LCM equation.

GCF(74584,74588) = 4
LCM(74584,74588) = ( 74584 × 74588) / 4
LCM(74584,74588) = 5563071392 / 4
LCM(74584,74588) = 1390767848

Least Common Multiple (LCM) of 74584 and 74588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74584 and 74588. First we will calculate the prime factors of 74584 and 74588.

Prime Factorization of 74584

Prime Factorization of 74588

Now multiplying the highest exponent prime factors to calculate the LCM of 74584 and 74588.

LCM(74584,74588) = 2³ × 9323¹ × 29¹ × 643¹
LCM(74584,74588) = 1390767848