What is the Least Common Multiple of 63085 and 63093?

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 63085 and 63093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63085 and 63093, than apply into the LCM equation.

GCF(63085,63093) = 1
LCM(63085,63093) = ( 63085 × 63093) / 1
LCM(63085,63093) = 3980221905 / 1
LCM(63085,63093) = 3980221905

Least Common Multiple (LCM) of 63085 and 63093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63085 and 63093. First we will calculate the prime factors of 63085 and 63093.

Prime Factorization of 63085

Prime Factorization of 63093

Now multiplying the highest exponent prime factors to calculate the LCM of 63085 and 63093.

LCM(63085,63093) = 5¹ × 11¹ × 31¹ × 37¹ × 3¹ × 21031¹
LCM(63085,63093) = 3980221905