What is the Least Common Multiple of 63117 and 63129?

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 63117 and 63129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63117 and 63129, than apply into the LCM equation.

GCF(63117,63129) = 3
LCM(63117,63129) = ( 63117 × 63129) / 3
LCM(63117,63129) = 3984513093 / 3
LCM(63117,63129) = 1328171031

Least Common Multiple (LCM) of 63117 and 63129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63117 and 63129. First we will calculate the prime factors of 63117 and 63129.

Prime Factorization of 63117

Prime Factorization of 63129

Now multiplying the highest exponent prime factors to calculate the LCM of 63117 and 63129.

LCM(63117,63129) = 3² × 7013¹ × 11¹ × 1913¹
LCM(63117,63129) = 1328171031