What is the Least Common Multiple of 42143 and 42151?

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 42143 and 42151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42143 and 42151, than apply into the LCM equation.

GCF(42143,42151) = 1
LCM(42143,42151) = ( 42143 × 42151) / 1
LCM(42143,42151) = 1776369593 / 1
LCM(42143,42151) = 1776369593

Least Common Multiple (LCM) of 42143 and 42151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42143 and 42151. First we will calculate the prime factors of 42143 and 42151.

Prime Factorization of 42143

Prime Factorization of 42151

Now multiplying the highest exponent prime factors to calculate the LCM of 42143 and 42151.

LCM(42143,42151) = 17¹ × 37¹ × 67¹ × 61¹ × 691¹
LCM(42143,42151) = 1776369593