What is the Least Common Multiple of 18172 and 18182?

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 18172 and 18182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18172 and 18182, than apply into the LCM equation.

GCF(18172,18182) = 2
LCM(18172,18182) = ( 18172 × 18182) / 2
LCM(18172,18182) = 330403304 / 2
LCM(18172,18182) = 165201652

Least Common Multiple (LCM) of 18172 and 18182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18172 and 18182. First we will calculate the prime factors of 18172 and 18182.

Prime Factorization of 18172

Prime Factorization of 18182

Now multiplying the highest exponent prime factors to calculate the LCM of 18172 and 18182.

LCM(18172,18182) = 2² × 7¹ × 11¹ × 59¹ × 9091¹
LCM(18172,18182) = 165201652