What is the Least Common Multiple of 30632 and 30644?

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 30632 and 30644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30632 and 30644, than apply into the LCM equation.

GCF(30632,30644) = 4
LCM(30632,30644) = ( 30632 × 30644) / 4
LCM(30632,30644) = 938687008 / 4
LCM(30632,30644) = 234671752

Least Common Multiple (LCM) of 30632 and 30644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30632 and 30644. First we will calculate the prime factors of 30632 and 30644.

Prime Factorization of 30632

Prime Factorization of 30644

Now multiplying the highest exponent prime factors to calculate the LCM of 30632 and 30644.

LCM(30632,30644) = 2³ × 7¹ × 547¹ × 47¹ × 163¹
LCM(30632,30644) = 234671752