What is the Least Common Multiple of 10842 and 10857?

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 10857 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 10857, than apply into the LCM equation.

GCF(10842,10857) = 3
LCM(10842,10857) = ( 10842 × 10857) / 3
LCM(10842,10857) = 117711594 / 3
LCM(10842,10857) = 39237198

Least Common Multiple (LCM) of 10842 and 10857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10842 and 10857. First we will calculate the prime factors of 10842 and 10857.

Prime Factorization of 10842

Prime Factorization of 10857

Now multiplying the highest exponent prime factors to calculate the LCM of 10842 and 10857.

LCM(10842,10857) = 2¹ × 3¹ × 13¹ × 139¹ × 7¹ × 11¹ × 47¹
LCM(10842,10857) = 39237198