What is the Least Common Multiple of 34728 and 34732?

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 34728 and 34732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34728 and 34732, than apply into the LCM equation.

GCF(34728,34732) = 4
LCM(34728,34732) = ( 34728 × 34732) / 4
LCM(34728,34732) = 1206172896 / 4
LCM(34728,34732) = 301543224

Least Common Multiple (LCM) of 34728 and 34732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34728 and 34732. First we will calculate the prime factors of 34728 and 34732.

Prime Factorization of 34728

Prime Factorization of 34732

Now multiplying the highest exponent prime factors to calculate the LCM of 34728 and 34732.

LCM(34728,34732) = 2³ × 3¹ × 1447¹ × 19¹ × 457¹
LCM(34728,34732) = 301543224