What is the Least Common Multiple of 4614 and 4623?

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 4623 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 4623, than apply into the LCM equation.

GCF(4614,4623) = 3
LCM(4614,4623) = ( 4614 × 4623) / 3
LCM(4614,4623) = 21330522 / 3
LCM(4614,4623) = 7110174

Least Common Multiple (LCM) of 4614 and 4623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4614 and 4623. First we will calculate the prime factors of 4614 and 4623.

Prime Factorization of 4614

Prime Factorization of 4623

Now multiplying the highest exponent prime factors to calculate the LCM of 4614 and 4623.

LCM(4614,4623) = 2¹ × 3¹ × 769¹ × 23¹ × 67¹
LCM(4614,4623) = 7110174