What is the Least Common Multiple of 80138 and 80146?

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 80138 and 80146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80138 and 80146, than apply into the LCM equation.

GCF(80138,80146) = 2
LCM(80138,80146) = ( 80138 × 80146) / 2
LCM(80138,80146) = 6422740148 / 2
LCM(80138,80146) = 3211370074

Least Common Multiple (LCM) of 80138 and 80146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80138 and 80146. First we will calculate the prime factors of 80138 and 80146.

Prime Factorization of 80138

Prime Factorization of 80146

Now multiplying the highest exponent prime factors to calculate the LCM of 80138 and 80146.

LCM(80138,80146) = 2¹ × 17¹ × 2357¹ × 11¹ × 3643¹
LCM(80138,80146) = 3211370074