What is the Least Common Multiple of 80100 and 80114?

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 80100 and 80114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80100 and 80114, than apply into the LCM equation.

GCF(80100,80114) = 2
LCM(80100,80114) = ( 80100 × 80114) / 2
LCM(80100,80114) = 6417131400 / 2
LCM(80100,80114) = 3208565700

Least Common Multiple (LCM) of 80100 and 80114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80100 and 80114. First we will calculate the prime factors of 80100 and 80114.

Prime Factorization of 80100

Prime Factorization of 80114

Now multiplying the highest exponent prime factors to calculate the LCM of 80100 and 80114.

LCM(80100,80114) = 2² × 3² × 5² × 89¹ × 41¹ × 977¹
LCM(80100,80114) = 3208565700