What is the Least Common Multiple of 4680 and 4700?

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 4680 and 4700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4680 and 4700, than apply into the LCM equation.

GCF(4680,4700) = 20
LCM(4680,4700) = ( 4680 × 4700) / 20
LCM(4680,4700) = 21996000 / 20
LCM(4680,4700) = 1099800

Least Common Multiple (LCM) of 4680 and 4700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4680 and 4700. First we will calculate the prime factors of 4680 and 4700.

Prime Factorization of 4680

Prime Factorization of 4700

Now multiplying the highest exponent prime factors to calculate the LCM of 4680 and 4700.

LCM(4680,4700) = 2³ × 3² × 5² × 13¹ × 47¹
LCM(4680,4700) = 1099800