What is the Least Common Multiple of 35172 and 35178?

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 35178 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 35178, than apply into the LCM equation.

GCF(35172,35178) = 6
LCM(35172,35178) = ( 35172 × 35178) / 6
LCM(35172,35178) = 1237280616 / 6
LCM(35172,35178) = 206213436

Least Common Multiple (LCM) of 35172 and 35178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35172 and 35178. First we will calculate the prime factors of 35172 and 35178.

Prime Factorization of 35172

Prime Factorization of 35178

Now multiplying the highest exponent prime factors to calculate the LCM of 35172 and 35178.

LCM(35172,35178) = 2² × 3² × 977¹ × 11¹ × 13¹ × 41¹
LCM(35172,35178) = 206213436