What is the Least Common Multiple of 79331 and 79338?

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 79331 and 79338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79331 and 79338, than apply into the LCM equation.

GCF(79331,79338) = 7
LCM(79331,79338) = ( 79331 × 79338) / 7
LCM(79331,79338) = 6293962878 / 7
LCM(79331,79338) = 899137554

Least Common Multiple (LCM) of 79331 and 79338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79331 and 79338. First we will calculate the prime factors of 79331 and 79338.

Prime Factorization of 79331

Prime Factorization of 79338

Now multiplying the highest exponent prime factors to calculate the LCM of 79331 and 79338.

LCM(79331,79338) = 7² × 1619¹ × 2¹ × 3¹ × 1889¹
LCM(79331,79338) = 899137554