What is the Least Common Multiple of 4656 and 4665?

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 4656 and 4665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4656 and 4665, than apply into the LCM equation.

GCF(4656,4665) = 3
LCM(4656,4665) = ( 4656 × 4665) / 3
LCM(4656,4665) = 21720240 / 3
LCM(4656,4665) = 7240080

Least Common Multiple (LCM) of 4656 and 4665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4656 and 4665. First we will calculate the prime factors of 4656 and 4665.

Prime Factorization of 4656

Prime Factorization of 4665

Now multiplying the highest exponent prime factors to calculate the LCM of 4656 and 4665.

LCM(4656,4665) = 2⁴ × 3¹ × 97¹ × 5¹ × 311¹
LCM(4656,4665) = 7240080