What is the Least Common Multiple of 63342 and 63359?

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 63342 and 63359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63342 and 63359, than apply into the LCM equation.

GCF(63342,63359) = 17
LCM(63342,63359) = ( 63342 × 63359) / 17
LCM(63342,63359) = 4013285778 / 17
LCM(63342,63359) = 236075634

Least Common Multiple (LCM) of 63342 and 63359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63342 and 63359. First we will calculate the prime factors of 63342 and 63359.

Prime Factorization of 63342

Prime Factorization of 63359

Now multiplying the highest exponent prime factors to calculate the LCM of 63342 and 63359.

LCM(63342,63359) = 2¹ × 3⁴ × 17¹ × 23¹ × 3727¹
LCM(63342,63359) = 236075634