What is the Least Common Multiple of 79233 and 79249?

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 79233 and 79249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79233 and 79249, than apply into the LCM equation.

GCF(79233,79249) = 1
LCM(79233,79249) = ( 79233 × 79249) / 1
LCM(79233,79249) = 6279136017 / 1
LCM(79233,79249) = 6279136017

Least Common Multiple (LCM) of 79233 and 79249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79233 and 79249. First we will calculate the prime factors of 79233 and 79249.

Prime Factorization of 79233

Prime Factorization of 79249

Now multiplying the highest exponent prime factors to calculate the LCM of 79233 and 79249.

LCM(79233,79249) = 3¹ × 7⁴ × 11¹ × 19¹ × 43¹ × 97¹
LCM(79233,79249) = 6279136017