What is the Least Common Multiple of 21842 and 21851?

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 21842 and 21851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21842 and 21851, than apply into the LCM equation.

GCF(21842,21851) = 1
LCM(21842,21851) = ( 21842 × 21851) / 1
LCM(21842,21851) = 477269542 / 1
LCM(21842,21851) = 477269542

Least Common Multiple (LCM) of 21842 and 21851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21842 and 21851. First we will calculate the prime factors of 21842 and 21851.

Prime Factorization of 21842

Prime Factorization of 21851

Now multiplying the highest exponent prime factors to calculate the LCM of 21842 and 21851.

LCM(21842,21851) = 2¹ × 67¹ × 163¹ × 21851¹
LCM(21842,21851) = 477269542