What is the Least Common Multiple of 63289 and 63304?

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 63289 and 63304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63289 and 63304, than apply into the LCM equation.

GCF(63289,63304) = 1
LCM(63289,63304) = ( 63289 × 63304) / 1
LCM(63289,63304) = 4006446856 / 1
LCM(63289,63304) = 4006446856

Least Common Multiple (LCM) of 63289 and 63304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63289 and 63304. First we will calculate the prime factors of 63289 and 63304.

Prime Factorization of 63289

Prime Factorization of 63304

Now multiplying the highest exponent prime factors to calculate the LCM of 63289 and 63304.

LCM(63289,63304) = 19¹ × 3331¹ × 2³ × 41¹ × 193¹
LCM(63289,63304) = 4006446856