What is the Least Common Multiple of 79858 and 79870?

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 79858 and 79870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79858 and 79870, than apply into the LCM equation.

GCF(79858,79870) = 2
LCM(79858,79870) = ( 79858 × 79870) / 2
LCM(79858,79870) = 6378258460 / 2
LCM(79858,79870) = 3189129230

Least Common Multiple (LCM) of 79858 and 79870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79858 and 79870. First we will calculate the prime factors of 79858 and 79870.

Prime Factorization of 79858

Prime Factorization of 79870

Now multiplying the highest exponent prime factors to calculate the LCM of 79858 and 79870.

LCM(79858,79870) = 2¹ × 39929¹ × 5¹ × 7² × 163¹
LCM(79858,79870) = 3189129230