What is the Least Common Multiple of 4626 and 4640?

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 4626 and 4640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4626 and 4640, than apply into the LCM equation.

GCF(4626,4640) = 2
LCM(4626,4640) = ( 4626 × 4640) / 2
LCM(4626,4640) = 21464640 / 2
LCM(4626,4640) = 10732320

Least Common Multiple (LCM) of 4626 and 4640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4626 and 4640. First we will calculate the prime factors of 4626 and 4640.

Prime Factorization of 4626

Prime Factorization of 4640

Now multiplying the highest exponent prime factors to calculate the LCM of 4626 and 4640.

LCM(4626,4640) = 2⁵ × 3² × 257¹ × 5¹ × 29¹
LCM(4626,4640) = 10732320