What is the Least Common Multiple of 4725 and 4740?

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 4740 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 4740, than apply into the LCM equation.

GCF(4725,4740) = 15
LCM(4725,4740) = ( 4725 × 4740) / 15
LCM(4725,4740) = 22396500 / 15
LCM(4725,4740) = 1493100

Least Common Multiple (LCM) of 4725 and 4740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4725 and 4740. First we will calculate the prime factors of 4725 and 4740.

Prime Factorization of 4725

Prime Factorization of 4740

Now multiplying the highest exponent prime factors to calculate the LCM of 4725 and 4740.

LCM(4725,4740) = 3³ × 5² × 7¹ × 2² × 79¹
LCM(4725,4740) = 1493100