What is the Least Common Multiple of 63229 and 63249?

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 63229 and 63249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63229 and 63249, than apply into the LCM equation.

GCF(63229,63249) = 1
LCM(63229,63249) = ( 63229 × 63249) / 1
LCM(63229,63249) = 3999171021 / 1
LCM(63229,63249) = 3999171021

Least Common Multiple (LCM) of 63229 and 63249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63229 and 63249. First we will calculate the prime factors of 63229 and 63249.

Prime Factorization of 63229

Prime Factorization of 63249

Now multiplying the highest exponent prime factors to calculate the LCM of 63229 and 63249.

LCM(63229,63249) = 53¹ × 1193¹ × 3¹ × 29¹ × 727¹
LCM(63229,63249) = 3999171021