What is the Least Common Multiple of 62019 and 62036?

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 62019 and 62036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62019 and 62036, than apply into the LCM equation.

GCF(62019,62036) = 1
LCM(62019,62036) = ( 62019 × 62036) / 1
LCM(62019,62036) = 3847410684 / 1
LCM(62019,62036) = 3847410684

Least Common Multiple (LCM) of 62019 and 62036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62019 and 62036. First we will calculate the prime factors of 62019 and 62036.

Prime Factorization of 62019

Prime Factorization of 62036

Now multiplying the highest exponent prime factors to calculate the LCM of 62019 and 62036.

LCM(62019,62036) = 3³ × 2297¹ × 2² × 13¹ × 1193¹
LCM(62019,62036) = 3847410684