What is the Least Common Multiple of 40830 and 40842?

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 40830 and 40842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40830 and 40842, than apply into the LCM equation.

GCF(40830,40842) = 6
LCM(40830,40842) = ( 40830 × 40842) / 6
LCM(40830,40842) = 1667578860 / 6
LCM(40830,40842) = 277929810

Least Common Multiple (LCM) of 40830 and 40842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40830 and 40842. First we will calculate the prime factors of 40830 and 40842.

Prime Factorization of 40830

Prime Factorization of 40842

Now multiplying the highest exponent prime factors to calculate the LCM of 40830 and 40842.

LCM(40830,40842) = 2¹ × 3² × 5¹ × 1361¹ × 2269¹
LCM(40830,40842) = 277929810