What is the Least Common Multiple of 62033 and 62053?

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 62033 and 62053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62033 and 62053, than apply into the LCM equation.

GCF(62033,62053) = 1
LCM(62033,62053) = ( 62033 × 62053) / 1
LCM(62033,62053) = 3849333749 / 1
LCM(62033,62053) = 3849333749

Least Common Multiple (LCM) of 62033 and 62053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62033 and 62053. First we will calculate the prime factors of 62033 and 62053.

Prime Factorization of 62033

Prime Factorization of 62053

Now multiplying the highest exponent prime factors to calculate the LCM of 62033 and 62053.

LCM(62033,62053) = 17¹ × 41¹ × 89¹ × 62053¹
LCM(62033,62053) = 3849333749