What is the Least Common Multiple of 80630 and 80646?

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 80646 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 80646, than apply into the LCM equation.

GCF(80630,80646) = 2
LCM(80630,80646) = ( 80630 × 80646) / 2
LCM(80630,80646) = 6502486980 / 2
LCM(80630,80646) = 3251243490

Least Common Multiple (LCM) of 80630 and 80646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80630 and 80646. First we will calculate the prime factors of 80630 and 80646.

Prime Factorization of 80630

Prime Factorization of 80646

Now multiplying the highest exponent prime factors to calculate the LCM of 80630 and 80646.

LCM(80630,80646) = 2¹ × 5¹ × 11¹ × 733¹ × 3¹ × 13441¹
LCM(80630,80646) = 3251243490