What is the Least Common Multiple of 73583 and 73588?

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 73583 and 73588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73583 and 73588, than apply into the LCM equation.

GCF(73583,73588) = 1
LCM(73583,73588) = ( 73583 × 73588) / 1
LCM(73583,73588) = 5414825804 / 1
LCM(73583,73588) = 5414825804

Least Common Multiple (LCM) of 73583 and 73588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73583 and 73588. First we will calculate the prime factors of 73583 and 73588.

Prime Factorization of 73583

Prime Factorization of 73588

Now multiplying the highest exponent prime factors to calculate the LCM of 73583 and 73588.

LCM(73583,73588) = 73583¹ × 2² × 18397¹
LCM(73583,73588) = 5414825804