What is the Least Common Multiple of 80292 and 80296?

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 80292 and 80296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80292 and 80296, than apply into the LCM equation.

GCF(80292,80296) = 4
LCM(80292,80296) = ( 80292 × 80296) / 4
LCM(80292,80296) = 6447126432 / 4
LCM(80292,80296) = 1611781608

Least Common Multiple (LCM) of 80292 and 80296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80292 and 80296. First we will calculate the prime factors of 80292 and 80296.

Prime Factorization of 80292

Prime Factorization of 80296

Now multiplying the highest exponent prime factors to calculate the LCM of 80292 and 80296.

LCM(80292,80296) = 2³ × 3¹ × 6691¹ × 10037¹
LCM(80292,80296) = 1611781608