What is the Least Common Multiple of 62022 and 62031?

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 62022 and 62031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62022 and 62031, than apply into the LCM equation.

GCF(62022,62031) = 3
LCM(62022,62031) = ( 62022 × 62031) / 3
LCM(62022,62031) = 3847286682 / 3
LCM(62022,62031) = 1282428894

Least Common Multiple (LCM) of 62022 and 62031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62022 and 62031. First we will calculate the prime factors of 62022 and 62031.

Prime Factorization of 62022

Prime Factorization of 62031

Now multiplying the highest exponent prime factors to calculate the LCM of 62022 and 62031.

LCM(62022,62031) = 2¹ × 3¹ × 10337¹ × 23¹ × 29¹ × 31¹
LCM(62022,62031) = 1282428894