What is the Least Common Multiple of 80814 and 80823?

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 80814 and 80823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80814 and 80823, than apply into the LCM equation.

GCF(80814,80823) = 3
LCM(80814,80823) = ( 80814 × 80823) / 3
LCM(80814,80823) = 6531629922 / 3
LCM(80814,80823) = 2177209974

Least Common Multiple (LCM) of 80814 and 80823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80814 and 80823. First we will calculate the prime factors of 80814 and 80823.

Prime Factorization of 80814

Prime Factorization of 80823

Now multiplying the highest exponent prime factors to calculate the LCM of 80814 and 80823.

LCM(80814,80823) = 2¹ × 3¹ × 13469¹ × 29¹ × 929¹
LCM(80814,80823) = 2177209974