What is the Least Common Multiple of 80128 and 80138?

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 80128 and 80138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80128 and 80138, than apply into the LCM equation.

GCF(80128,80138) = 2
LCM(80128,80138) = ( 80128 × 80138) / 2
LCM(80128,80138) = 6421297664 / 2
LCM(80128,80138) = 3210648832

Least Common Multiple (LCM) of 80128 and 80138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80128 and 80138. First we will calculate the prime factors of 80128 and 80138.

Prime Factorization of 80128

Prime Factorization of 80138

Now multiplying the highest exponent prime factors to calculate the LCM of 80128 and 80138.

LCM(80128,80138) = 2⁸ × 313¹ × 17¹ × 2357¹
LCM(80128,80138) = 3210648832