What is the Least Common Multiple of 4725 and 4732?

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 4725 and 4732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4725 and 4732, than apply into the LCM equation.

GCF(4725,4732) = 7
LCM(4725,4732) = ( 4725 × 4732) / 7
LCM(4725,4732) = 22358700 / 7
LCM(4725,4732) = 3194100

Least Common Multiple (LCM) of 4725 and 4732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4725 and 4732. First we will calculate the prime factors of 4725 and 4732.

Prime Factorization of 4725

Prime Factorization of 4732

Now multiplying the highest exponent prime factors to calculate the LCM of 4725 and 4732.

LCM(4725,4732) = 3³ × 5² × 7¹ × 2² × 13²
LCM(4725,4732) = 3194100