What is the Least Common Multiple of 30588 and 30608?

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 30588 and 30608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30588 and 30608, than apply into the LCM equation.

GCF(30588,30608) = 4
LCM(30588,30608) = ( 30588 × 30608) / 4
LCM(30588,30608) = 936237504 / 4
LCM(30588,30608) = 234059376

Least Common Multiple (LCM) of 30588 and 30608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30588 and 30608. First we will calculate the prime factors of 30588 and 30608.

Prime Factorization of 30588

Prime Factorization of 30608

Now multiplying the highest exponent prime factors to calculate the LCM of 30588 and 30608.

LCM(30588,30608) = 2⁴ × 3¹ × 2549¹ × 1913¹
LCM(30588,30608) = 234059376