What is the Least Common Multiple of 80100 and 80107?

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 80107 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 80107, than apply into the LCM equation.

GCF(80100,80107) = 1
LCM(80100,80107) = ( 80100 × 80107) / 1
LCM(80100,80107) = 6416570700 / 1
LCM(80100,80107) = 6416570700

Least Common Multiple (LCM) of 80100 and 80107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80100 and 80107. First we will calculate the prime factors of 80100 and 80107.

Prime Factorization of 80100

Prime Factorization of 80107

Now multiplying the highest exponent prime factors to calculate the LCM of 80100 and 80107.

LCM(80100,80107) = 2² × 3² × 5² × 89¹ × 80107¹
LCM(80100,80107) = 6416570700