What is the Least Common Multiple of 4680 and 4696?

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 4696 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 4696, than apply into the LCM equation.

GCF(4680,4696) = 8
LCM(4680,4696) = ( 4680 × 4696) / 8
LCM(4680,4696) = 21977280 / 8
LCM(4680,4696) = 2747160

Least Common Multiple (LCM) of 4680 and 4696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4680 and 4696. First we will calculate the prime factors of 4680 and 4696.

Prime Factorization of 4680

Prime Factorization of 4696

Now multiplying the highest exponent prime factors to calculate the LCM of 4680 and 4696.

LCM(4680,4696) = 2³ × 3² × 5¹ × 13¹ × 587¹
LCM(4680,4696) = 2747160