What is the Least Common Multiple of 63084 and 63089?

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 63084 and 63089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63084 and 63089, than apply into the LCM equation.

GCF(63084,63089) = 1
LCM(63084,63089) = ( 63084 × 63089) / 1
LCM(63084,63089) = 3979906476 / 1
LCM(63084,63089) = 3979906476

Least Common Multiple (LCM) of 63084 and 63089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63084 and 63089. First we will calculate the prime factors of 63084 and 63089.

Prime Factorization of 63084

Prime Factorization of 63089

Now multiplying the highest exponent prime factors to calculate the LCM of 63084 and 63089.

LCM(63084,63089) = 2² × 3¹ × 7¹ × 751¹ × 13¹ × 23¹ × 211¹
LCM(63084,63089) = 3979906476