What is the Least Common Multiple of 62166 and 62175?

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 62166 and 62175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62166 and 62175, than apply into the LCM equation.

GCF(62166,62175) = 3
LCM(62166,62175) = ( 62166 × 62175) / 3
LCM(62166,62175) = 3865171050 / 3
LCM(62166,62175) = 1288390350

Least Common Multiple (LCM) of 62166 and 62175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62166 and 62175. First we will calculate the prime factors of 62166 and 62175.

Prime Factorization of 62166

Prime Factorization of 62175

Now multiplying the highest exponent prime factors to calculate the LCM of 62166 and 62175.

LCM(62166,62175) = 2¹ × 3¹ × 13¹ × 797¹ × 5² × 829¹
LCM(62166,62175) = 1288390350