What is the Least Common Multiple of 79892 and 79898?

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 79892 and 79898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79892 and 79898, than apply into the LCM equation.

GCF(79892,79898) = 2
LCM(79892,79898) = ( 79892 × 79898) / 2
LCM(79892,79898) = 6383211016 / 2
LCM(79892,79898) = 3191605508

Least Common Multiple (LCM) of 79892 and 79898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79892 and 79898. First we will calculate the prime factors of 79892 and 79898.

Prime Factorization of 79892

Prime Factorization of 79898

Now multiplying the highest exponent prime factors to calculate the LCM of 79892 and 79898.

LCM(79892,79898) = 2² × 19973¹ × 7¹ × 13¹ × 439¹
LCM(79892,79898) = 3191605508