What is the Least Common Multiple of 870 and 874?

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 870 and 874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 870 and 874, than apply into the LCM equation.

GCF(870,874) = 2
LCM(870,874) = ( 870 × 874) / 2
LCM(870,874) = 760380 / 2
LCM(870,874) = 380190

Least Common Multiple (LCM) of 870 and 874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 870 and 874. First we will calculate the prime factors of 870 and 874.

Prime Factorization of 870

Prime Factorization of 874

Now multiplying the highest exponent prime factors to calculate the LCM of 870 and 874.

LCM(870,874) = 2¹ × 3¹ × 5¹ × 29¹ × 19¹ × 23¹
LCM(870,874) = 380190