What is the Least Common Multiple of 42146 and 42159?

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 42146 and 42159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42146 and 42159, than apply into the LCM equation.

GCF(42146,42159) = 13
LCM(42146,42159) = ( 42146 × 42159) / 13
LCM(42146,42159) = 1776833214 / 13
LCM(42146,42159) = 136679478

Least Common Multiple (LCM) of 42146 and 42159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42146 and 42159. First we will calculate the prime factors of 42146 and 42159.

Prime Factorization of 42146

Prime Factorization of 42159

Now multiplying the highest exponent prime factors to calculate the LCM of 42146 and 42159.

LCM(42146,42159) = 2¹ × 13¹ × 1621¹ × 3¹ × 23¹ × 47¹
LCM(42146,42159) = 136679478