What is the Least Common Multiple of 80630 and 80634?

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 80630 and 80634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80630 and 80634, than apply into the LCM equation.

GCF(80630,80634) = 2
LCM(80630,80634) = ( 80630 × 80634) / 2
LCM(80630,80634) = 6501519420 / 2
LCM(80630,80634) = 3250759710

Least Common Multiple (LCM) of 80630 and 80634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80630 and 80634. First we will calculate the prime factors of 80630 and 80634.

Prime Factorization of 80630

Prime Factorization of 80634

Now multiplying the highest exponent prime factors to calculate the LCM of 80630 and 80634.

LCM(80630,80634) = 2¹ × 5¹ × 11¹ × 733¹ × 3¹ × 89¹ × 151¹
LCM(80630,80634) = 3250759710