What is the Least Common Multiple of 63342 and 63352?

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 63352 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 63352, than apply into the LCM equation.

GCF(63342,63352) = 2
LCM(63342,63352) = ( 63342 × 63352) / 2
LCM(63342,63352) = 4012842384 / 2
LCM(63342,63352) = 2006421192

Least Common Multiple (LCM) of 63342 and 63352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63342 and 63352. First we will calculate the prime factors of 63342 and 63352.

Prime Factorization of 63342

Prime Factorization of 63352

Now multiplying the highest exponent prime factors to calculate the LCM of 63342 and 63352.

LCM(63342,63352) = 2³ × 3⁴ × 17¹ × 23¹ × 7919¹
LCM(63342,63352) = 2006421192