What is the Least Common Multiple of 80274 and 80291?

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 80274 and 80291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80274 and 80291, than apply into the LCM equation.

GCF(80274,80291) = 17
LCM(80274,80291) = ( 80274 × 80291) / 17
LCM(80274,80291) = 6445279734 / 17
LCM(80274,80291) = 379134102

Least Common Multiple (LCM) of 80274 and 80291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80274 and 80291. First we will calculate the prime factors of 80274 and 80291.

Prime Factorization of 80274

Prime Factorization of 80291

Now multiplying the highest exponent prime factors to calculate the LCM of 80274 and 80291.

LCM(80274,80291) = 2¹ × 3¹ × 17¹ × 787¹ × 4723¹
LCM(80274,80291) = 379134102