What is the Least Common Multiple of 79816 and 79834?

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 79816 and 79834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79816 and 79834, than apply into the LCM equation.

GCF(79816,79834) = 2
LCM(79816,79834) = ( 79816 × 79834) / 2
LCM(79816,79834) = 6372030544 / 2
LCM(79816,79834) = 3186015272

Least Common Multiple (LCM) of 79816 and 79834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79816 and 79834. First we will calculate the prime factors of 79816 and 79834.

Prime Factorization of 79816

Prime Factorization of 79834

Now multiplying the highest exponent prime factors to calculate the LCM of 79816 and 79834.

LCM(79816,79834) = 2³ × 11¹ × 907¹ × 179¹ × 223¹
LCM(79816,79834) = 3186015272