What is the Least Common Multiple of 79338 and 79352?

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 79352 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 79352, than apply into the LCM equation.

GCF(79338,79352) = 14
LCM(79338,79352) = ( 79338 × 79352) / 14
LCM(79338,79352) = 6295628976 / 14
LCM(79338,79352) = 449687784

Least Common Multiple (LCM) of 79338 and 79352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79338 and 79352. First we will calculate the prime factors of 79338 and 79352.

Prime Factorization of 79338

Prime Factorization of 79352

Now multiplying the highest exponent prime factors to calculate the LCM of 79338 and 79352.

LCM(79338,79352) = 2³ × 3¹ × 7¹ × 1889¹ × 13¹ × 109¹
LCM(79338,79352) = 449687784