What is the Least Common Multiple of 62168 and 62182?

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 62168 and 62182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62168 and 62182, than apply into the LCM equation.

GCF(62168,62182) = 2
LCM(62168,62182) = ( 62168 × 62182) / 2
LCM(62168,62182) = 3865730576 / 2
LCM(62168,62182) = 1932865288

Least Common Multiple (LCM) of 62168 and 62182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62168 and 62182. First we will calculate the prime factors of 62168 and 62182.

Prime Factorization of 62168

Prime Factorization of 62182

Now multiplying the highest exponent prime factors to calculate the LCM of 62168 and 62182.

LCM(62168,62182) = 2³ × 19¹ × 409¹ × 31091¹
LCM(62168,62182) = 1932865288