What is the Least Common Multiple of 79834 and 79852?

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 79834 and 79852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79834 and 79852, than apply into the LCM equation.

GCF(79834,79852) = 2
LCM(79834,79852) = ( 79834 × 79852) / 2
LCM(79834,79852) = 6374904568 / 2
LCM(79834,79852) = 3187452284

Least Common Multiple (LCM) of 79834 and 79852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79834 and 79852. First we will calculate the prime factors of 79834 and 79852.

Prime Factorization of 79834

Prime Factorization of 79852

Now multiplying the highest exponent prime factors to calculate the LCM of 79834 and 79852.

LCM(79834,79852) = 2² × 179¹ × 223¹ × 19963¹
LCM(79834,79852) = 3187452284