What is the Least Common Multiple of 80257 and 80264?

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 80257 and 80264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80257 and 80264, than apply into the LCM equation.

GCF(80257,80264) = 1
LCM(80257,80264) = ( 80257 × 80264) / 1
LCM(80257,80264) = 6441747848 / 1
LCM(80257,80264) = 6441747848

Least Common Multiple (LCM) of 80257 and 80264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80257 and 80264. First we will calculate the prime factors of 80257 and 80264.

Prime Factorization of 80257

Prime Factorization of 80264

Now multiplying the highest exponent prime factors to calculate the LCM of 80257 and 80264.

LCM(80257,80264) = 17¹ × 4721¹ × 2³ × 79¹ × 127¹
LCM(80257,80264) = 6441747848