What is the Least Common Multiple of 63054 and 63069?

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 63054 and 63069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63054 and 63069, than apply into the LCM equation.

GCF(63054,63069) = 3
LCM(63054,63069) = ( 63054 × 63069) / 3
LCM(63054,63069) = 3976752726 / 3
LCM(63054,63069) = 1325584242

Least Common Multiple (LCM) of 63054 and 63069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63054 and 63069. First we will calculate the prime factors of 63054 and 63069.

Prime Factorization of 63054

Prime Factorization of 63069

Now multiplying the highest exponent prime factors to calculate the LCM of 63054 and 63069.

LCM(63054,63069) = 2¹ × 3² × 31¹ × 113¹ × 21023¹
LCM(63054,63069) = 1325584242