What is the Least Common Multiple of 63306 and 63314?

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 63306 and 63314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63306 and 63314, than apply into the LCM equation.

GCF(63306,63314) = 2
LCM(63306,63314) = ( 63306 × 63314) / 2
LCM(63306,63314) = 4008156084 / 2
LCM(63306,63314) = 2004078042

Least Common Multiple (LCM) of 63306 and 63314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63306 and 63314. First we will calculate the prime factors of 63306 and 63314.

Prime Factorization of 63306

Prime Factorization of 63314

Now multiplying the highest exponent prime factors to calculate the LCM of 63306 and 63314.

LCM(63306,63314) = 2¹ × 3² × 3517¹ × 31657¹
LCM(63306,63314) = 2004078042