What is the Least Common Multiple of 840 and 858?

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 840 and 858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 840 and 858, than apply into the LCM equation.

GCF(840,858) = 6
LCM(840,858) = ( 840 × 858) / 6
LCM(840,858) = 720720 / 6
LCM(840,858) = 120120

Least Common Multiple (LCM) of 840 and 858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 840 and 858. First we will calculate the prime factors of 840 and 858.

Prime Factorization of 840

Prime Factorization of 858

Now multiplying the highest exponent prime factors to calculate the LCM of 840 and 858.

LCM(840,858) = 2³ × 3¹ × 5¹ × 7¹ × 11¹ × 13¹
LCM(840,858) = 120120