What is the Least Common Multiple of 42858 and 42864?

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 42858 and 42864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42858 and 42864, than apply into the LCM equation.

GCF(42858,42864) = 6
LCM(42858,42864) = ( 42858 × 42864) / 6
LCM(42858,42864) = 1837065312 / 6
LCM(42858,42864) = 306177552

Least Common Multiple (LCM) of 42858 and 42864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42858 and 42864. First we will calculate the prime factors of 42858 and 42864.

Prime Factorization of 42858

Prime Factorization of 42864

Now multiplying the highest exponent prime factors to calculate the LCM of 42858 and 42864.

LCM(42858,42864) = 2⁴ × 3² × 2381¹ × 19¹ × 47¹
LCM(42858,42864) = 306177552