What is the Least Common Multiple of 4614 and 4630?

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 4614 and 4630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4614 and 4630, than apply into the LCM equation.

GCF(4614,4630) = 2
LCM(4614,4630) = ( 4614 × 4630) / 2
LCM(4614,4630) = 21362820 / 2
LCM(4614,4630) = 10681410

Least Common Multiple (LCM) of 4614 and 4630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4614 and 4630. First we will calculate the prime factors of 4614 and 4630.

Prime Factorization of 4614

Prime Factorization of 4630

Now multiplying the highest exponent prime factors to calculate the LCM of 4614 and 4630.

LCM(4614,4630) = 2¹ × 3¹ × 769¹ × 5¹ × 463¹
LCM(4614,4630) = 10681410