What is the Least Common Multiple of 81142 and 81148?

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 81142 and 81148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81142 and 81148, than apply into the LCM equation.

GCF(81142,81148) = 2
LCM(81142,81148) = ( 81142 × 81148) / 2
LCM(81142,81148) = 6584511016 / 2
LCM(81142,81148) = 3292255508

Least Common Multiple (LCM) of 81142 and 81148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81142 and 81148. First we will calculate the prime factors of 81142 and 81148.

Prime Factorization of 81142

Prime Factorization of 81148

Now multiplying the highest exponent prime factors to calculate the LCM of 81142 and 81148.

LCM(81142,81148) = 2² × 29¹ × 1399¹ × 20287¹
LCM(81142,81148) = 3292255508