What is the Least Common Multiple of 80123 and 80137?

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 80123 and 80137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80123 and 80137, than apply into the LCM equation.

GCF(80123,80137) = 1
LCM(80123,80137) = ( 80123 × 80137) / 1
LCM(80123,80137) = 6420816851 / 1
LCM(80123,80137) = 6420816851

Least Common Multiple (LCM) of 80123 and 80137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80123 and 80137. First we will calculate the prime factors of 80123 and 80137.

Prime Factorization of 80123

Prime Factorization of 80137

Now multiplying the highest exponent prime factors to calculate the LCM of 80123 and 80137.

LCM(80123,80137) = 19¹ × 4217¹ × 127¹ × 631¹
LCM(80123,80137) = 6420816851