What is the Least Common Multiple of 80118 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 80118 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 80118 and 80138, than apply into the LCM equation.

GCF(80118,80138) = 2
LCM(80118,80138) = ( 80118 × 80138) / 2
LCM(80118,80138) = 6420496284 / 2
LCM(80118,80138) = 3210248142

Least Common Multiple (LCM) of 80118 and 80138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80118 and 80138. First we will calculate the prime factors of 80118 and 80138.

Prime Factorization of 80118

Prime Factorization of 80138

Now multiplying the highest exponent prime factors to calculate the LCM of 80118 and 80138.

LCM(80118,80138) = 2¹ × 3² × 4451¹ × 17¹ × 2357¹
LCM(80118,80138) = 3210248142