What is the Least Common Multiple of 96870 and 96874?

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 96870 and 96874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96870 and 96874, than apply into the LCM equation.

GCF(96870,96874) = 2
LCM(96870,96874) = ( 96870 × 96874) / 2
LCM(96870,96874) = 9384184380 / 2
LCM(96870,96874) = 4692092190

Least Common Multiple (LCM) of 96870 and 96874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96870 and 96874. First we will calculate the prime factors of 96870 and 96874.

Prime Factorization of 96870

Prime Factorization of 96874

Now multiplying the highest exponent prime factors to calculate the LCM of 96870 and 96874.

LCM(96870,96874) = 2¹ × 3¹ × 5¹ × 3229¹ × 48437¹
LCM(96870,96874) = 4692092190