What is the Least Common Multiple of 71166 and 71182?

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 71166 and 71182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71166 and 71182, than apply into the LCM equation.

GCF(71166,71182) = 2
LCM(71166,71182) = ( 71166 × 71182) / 2
LCM(71166,71182) = 5065738212 / 2
LCM(71166,71182) = 2532869106

Least Common Multiple (LCM) of 71166 and 71182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71166 and 71182. First we will calculate the prime factors of 71166 and 71182.

Prime Factorization of 71166

Prime Factorization of 71182

Now multiplying the highest exponent prime factors to calculate the LCM of 71166 and 71182.

LCM(71166,71182) = 2¹ × 3¹ × 29¹ × 409¹ × 35591¹
LCM(71166,71182) = 2532869106