What is the Least Common Multiple of 86175 and 86182?

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 86175 and 86182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86175 and 86182, than apply into the LCM equation.

GCF(86175,86182) = 1
LCM(86175,86182) = ( 86175 × 86182) / 1
LCM(86175,86182) = 7426733850 / 1
LCM(86175,86182) = 7426733850

Least Common Multiple (LCM) of 86175 and 86182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86175 and 86182. First we will calculate the prime factors of 86175 and 86182.

Prime Factorization of 86175

Prime Factorization of 86182

Now multiplying the highest exponent prime factors to calculate the LCM of 86175 and 86182.

LCM(86175,86182) = 3² × 5² × 383¹ × 2¹ × 41¹ × 1051¹
LCM(86175,86182) = 7426733850