What is the Least Common Multiple of 79284 and 79297?

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 79284 and 79297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79284 and 79297, than apply into the LCM equation.

GCF(79284,79297) = 1
LCM(79284,79297) = ( 79284 × 79297) / 1
LCM(79284,79297) = 6286983348 / 1
LCM(79284,79297) = 6286983348

Least Common Multiple (LCM) of 79284 and 79297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79284 and 79297. First we will calculate the prime factors of 79284 and 79297.

Prime Factorization of 79284

Prime Factorization of 79297

Now multiplying the highest exponent prime factors to calculate the LCM of 79284 and 79297.

LCM(79284,79297) = 2² × 3¹ × 6607¹ × 179¹ × 443¹
LCM(79284,79297) = 6286983348