What is the Least Common Multiple of 30528 and 30532?

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 30528 and 30532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30528 and 30532, than apply into the LCM equation.

GCF(30528,30532) = 4
LCM(30528,30532) = ( 30528 × 30532) / 4
LCM(30528,30532) = 932080896 / 4
LCM(30528,30532) = 233020224

Least Common Multiple (LCM) of 30528 and 30532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30528 and 30532. First we will calculate the prime factors of 30528 and 30532.

Prime Factorization of 30528

Prime Factorization of 30532

Now multiplying the highest exponent prime factors to calculate the LCM of 30528 and 30532.

LCM(30528,30532) = 2⁶ × 3² × 53¹ × 17¹ × 449¹
LCM(30528,30532) = 233020224