What is the Least Common Multiple of 79917 and 79936?

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 79917 and 79936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79917 and 79936, than apply into the LCM equation.

GCF(79917,79936) = 1
LCM(79917,79936) = ( 79917 × 79936) / 1
LCM(79917,79936) = 6388245312 / 1
LCM(79917,79936) = 6388245312

Least Common Multiple (LCM) of 79917 and 79936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79917 and 79936. First we will calculate the prime factors of 79917 and 79936.

Prime Factorization of 79917

Prime Factorization of 79936

Now multiplying the highest exponent prime factors to calculate the LCM of 79917 and 79936.

LCM(79917,79936) = 3¹ × 17¹ × 1567¹ × 2⁶ × 1249¹
LCM(79917,79936) = 6388245312