What is the Least Common Multiple of 4616 and 4634?

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 4616 and 4634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4616 and 4634, than apply into the LCM equation.

GCF(4616,4634) = 2
LCM(4616,4634) = ( 4616 × 4634) / 2
LCM(4616,4634) = 21390544 / 2
LCM(4616,4634) = 10695272

Least Common Multiple (LCM) of 4616 and 4634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4616 and 4634. First we will calculate the prime factors of 4616 and 4634.

Prime Factorization of 4616

Prime Factorization of 4634

Now multiplying the highest exponent prime factors to calculate the LCM of 4616 and 4634.

LCM(4616,4634) = 2³ × 577¹ × 7¹ × 331¹
LCM(4616,4634) = 10695272