What is the Least Common Multiple of 35168 and 35172?

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 35168 and 35172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35168 and 35172, than apply into the LCM equation.

GCF(35168,35172) = 4
LCM(35168,35172) = ( 35168 × 35172) / 4
LCM(35168,35172) = 1236928896 / 4
LCM(35168,35172) = 309232224

Least Common Multiple (LCM) of 35168 and 35172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35168 and 35172. First we will calculate the prime factors of 35168 and 35172.

Prime Factorization of 35168

Prime Factorization of 35172

Now multiplying the highest exponent prime factors to calculate the LCM of 35168 and 35172.

LCM(35168,35172) = 2⁵ × 7¹ × 157¹ × 3² × 977¹
LCM(35168,35172) = 309232224