What is the Least Common Multiple of 79338 and 79347?

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 79338 and 79347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79338 and 79347, than apply into the LCM equation.

GCF(79338,79347) = 3
LCM(79338,79347) = ( 79338 × 79347) / 3
LCM(79338,79347) = 6295232286 / 3
LCM(79338,79347) = 2098410762

Least Common Multiple (LCM) of 79338 and 79347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79338 and 79347. First we will calculate the prime factors of 79338 and 79347.

Prime Factorization of 79338

Prime Factorization of 79347

Now multiplying the highest exponent prime factors to calculate the LCM of 79338 and 79347.

LCM(79338,79347) = 2¹ × 3¹ × 7¹ × 1889¹ × 26449¹
LCM(79338,79347) = 2098410762