What is the Least Common Multiple of 4740 and 4749?

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 4740 and 4749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4740 and 4749, than apply into the LCM equation.

GCF(4740,4749) = 3
LCM(4740,4749) = ( 4740 × 4749) / 3
LCM(4740,4749) = 22510260 / 3
LCM(4740,4749) = 7503420

Least Common Multiple (LCM) of 4740 and 4749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4740 and 4749. First we will calculate the prime factors of 4740 and 4749.

Prime Factorization of 4740

Prime Factorization of 4749

Now multiplying the highest exponent prime factors to calculate the LCM of 4740 and 4749.

LCM(4740,4749) = 2² × 3¹ × 5¹ × 79¹ × 1583¹
LCM(4740,4749) = 7503420