What is the Least Common Multiple of 43870 and 43874?

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 43870 and 43874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43870 and 43874, than apply into the LCM equation.

GCF(43870,43874) = 2
LCM(43870,43874) = ( 43870 × 43874) / 2
LCM(43870,43874) = 1924752380 / 2
LCM(43870,43874) = 962376190

Least Common Multiple (LCM) of 43870 and 43874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43870 and 43874. First we will calculate the prime factors of 43870 and 43874.

Prime Factorization of 43870

Prime Factorization of 43874

Now multiplying the highest exponent prime factors to calculate the LCM of 43870 and 43874.

LCM(43870,43874) = 2¹ × 5¹ × 41¹ × 107¹ × 21937¹
LCM(43870,43874) = 962376190