What is the Least Common Multiple of 70616 and 70634?

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 70616 and 70634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70616 and 70634, than apply into the LCM equation.

GCF(70616,70634) = 2
LCM(70616,70634) = ( 70616 × 70634) / 2
LCM(70616,70634) = 4987890544 / 2
LCM(70616,70634) = 2493945272

Least Common Multiple (LCM) of 70616 and 70634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70616 and 70634. First we will calculate the prime factors of 70616 and 70634.

Prime Factorization of 70616

Prime Factorization of 70634

Now multiplying the highest exponent prime factors to calculate the LCM of 70616 and 70634.

LCM(70616,70634) = 2³ × 7¹ × 13¹ × 97¹ × 35317¹
LCM(70616,70634) = 2493945272