What is the Least Common Multiple of 35172 and 35188?

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 35188 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 35188, than apply into the LCM equation.

GCF(35172,35188) = 4
LCM(35172,35188) = ( 35172 × 35188) / 4
LCM(35172,35188) = 1237632336 / 4
LCM(35172,35188) = 309408084

Least Common Multiple (LCM) of 35172 and 35188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35172 and 35188. First we will calculate the prime factors of 35172 and 35188.

Prime Factorization of 35172

Prime Factorization of 35188

Now multiplying the highest exponent prime factors to calculate the LCM of 35172 and 35188.

LCM(35172,35188) = 2² × 3² × 977¹ × 19¹ × 463¹
LCM(35172,35188) = 309408084