What is the Least Common Multiple of 10842 and 10854?

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 10842 and 10854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10842 and 10854, than apply into the LCM equation.

GCF(10842,10854) = 6
LCM(10842,10854) = ( 10842 × 10854) / 6
LCM(10842,10854) = 117679068 / 6
LCM(10842,10854) = 19613178

Least Common Multiple (LCM) of 10842 and 10854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10842 and 10854. First we will calculate the prime factors of 10842 and 10854.

Prime Factorization of 10842

Prime Factorization of 10854

Now multiplying the highest exponent prime factors to calculate the LCM of 10842 and 10854.

LCM(10842,10854) = 2¹ × 3⁴ × 13¹ × 139¹ × 67¹
LCM(10842,10854) = 19613178