What is the Least Common Multiple of 79911 and 79929?

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 79911 and 79929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79911 and 79929, than apply into the LCM equation.

GCF(79911,79929) = 9
LCM(79911,79929) = ( 79911 × 79929) / 9
LCM(79911,79929) = 6387206319 / 9
LCM(79911,79929) = 709689591

Least Common Multiple (LCM) of 79911 and 79929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79911 and 79929. First we will calculate the prime factors of 79911 and 79929.

Prime Factorization of 79911

Prime Factorization of 79929

Now multiplying the highest exponent prime factors to calculate the LCM of 79911 and 79929.

LCM(79911,79929) = 3² × 13¹ × 683¹ × 83¹ × 107¹
LCM(79911,79929) = 709689591