What is the Least Common Multiple of 35142 and 35161?

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 35142 and 35161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35142 and 35161, than apply into the LCM equation.

GCF(35142,35161) = 1
LCM(35142,35161) = ( 35142 × 35161) / 1
LCM(35142,35161) = 1235627862 / 1
LCM(35142,35161) = 1235627862

Least Common Multiple (LCM) of 35142 and 35161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35142 and 35161. First we will calculate the prime factors of 35142 and 35161.

Prime Factorization of 35142

Prime Factorization of 35161

Now multiplying the highest exponent prime factors to calculate the LCM of 35142 and 35161.

LCM(35142,35161) = 2¹ × 3¹ × 5857¹ × 7¹ × 5023¹
LCM(35142,35161) = 1235627862