What is the Least Common Multiple of 35172 and 35181?

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 35172 and 35181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35172 and 35181, than apply into the LCM equation.

GCF(35172,35181) = 9
LCM(35172,35181) = ( 35172 × 35181) / 9
LCM(35172,35181) = 1237386132 / 9
LCM(35172,35181) = 137487348

Least Common Multiple (LCM) of 35172 and 35181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35172 and 35181. First we will calculate the prime factors of 35172 and 35181.

Prime Factorization of 35172

Prime Factorization of 35181

Now multiplying the highest exponent prime factors to calculate the LCM of 35172 and 35181.

LCM(35172,35181) = 2² × 3³ × 977¹ × 1303¹
LCM(35172,35181) = 137487348