What is the Least Common Multiple of 80114 and 80123?

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 80114 and 80123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80114 and 80123, than apply into the LCM equation.

GCF(80114,80123) = 1
LCM(80114,80123) = ( 80114 × 80123) / 1
LCM(80114,80123) = 6418974022 / 1
LCM(80114,80123) = 6418974022

Least Common Multiple (LCM) of 80114 and 80123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80114 and 80123. First we will calculate the prime factors of 80114 and 80123.

Prime Factorization of 80114

Prime Factorization of 80123

Now multiplying the highest exponent prime factors to calculate the LCM of 80114 and 80123.

LCM(80114,80123) = 2¹ × 41¹ × 977¹ × 19¹ × 4217¹
LCM(80114,80123) = 6418974022