What is the Least Common Multiple of 79870 and 79874?

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 79870 and 79874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79870 and 79874, than apply into the LCM equation.

GCF(79870,79874) = 2
LCM(79870,79874) = ( 79870 × 79874) / 2
LCM(79870,79874) = 6379536380 / 2
LCM(79870,79874) = 3189768190

Least Common Multiple (LCM) of 79870 and 79874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79870 and 79874. First we will calculate the prime factors of 79870 and 79874.

Prime Factorization of 79870

Prime Factorization of 79874

Now multiplying the highest exponent prime factors to calculate the LCM of 79870 and 79874.

LCM(79870,79874) = 2¹ × 5¹ × 7² × 163¹ × 39937¹
LCM(79870,79874) = 3189768190