What is the Least Common Multiple of 42864 and 42870?

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 42864 and 42870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42864 and 42870, than apply into the LCM equation.

GCF(42864,42870) = 6
LCM(42864,42870) = ( 42864 × 42870) / 6
LCM(42864,42870) = 1837579680 / 6
LCM(42864,42870) = 306263280

Least Common Multiple (LCM) of 42864 and 42870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42864 and 42870. First we will calculate the prime factors of 42864 and 42870.

Prime Factorization of 42864

Prime Factorization of 42870

Now multiplying the highest exponent prime factors to calculate the LCM of 42864 and 42870.

LCM(42864,42870) = 2⁴ × 3¹ × 19¹ × 47¹ × 5¹ × 1429¹
LCM(42864,42870) = 306263280