What is the Least Common Multiple of 30576 and 30588?

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 30576 and 30588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30576 and 30588, than apply into the LCM equation.

GCF(30576,30588) = 12
LCM(30576,30588) = ( 30576 × 30588) / 12
LCM(30576,30588) = 935258688 / 12
LCM(30576,30588) = 77938224

Least Common Multiple (LCM) of 30576 and 30588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30576 and 30588. First we will calculate the prime factors of 30576 and 30588.

Prime Factorization of 30576

Prime Factorization of 30588

Now multiplying the highest exponent prime factors to calculate the LCM of 30576 and 30588.

LCM(30576,30588) = 2⁴ × 3¹ × 7² × 13¹ × 2549¹
LCM(30576,30588) = 77938224