What is the Least Common Multiple of 63584 and 63598?

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 63584 and 63598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63584 and 63598, than apply into the LCM equation.

GCF(63584,63598) = 2
LCM(63584,63598) = ( 63584 × 63598) / 2
LCM(63584,63598) = 4043815232 / 2
LCM(63584,63598) = 2021907616

Least Common Multiple (LCM) of 63584 and 63598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63584 and 63598. First we will calculate the prime factors of 63584 and 63598.

Prime Factorization of 63584

Prime Factorization of 63598

Now multiplying the highest exponent prime factors to calculate the LCM of 63584 and 63598.

LCM(63584,63598) = 2⁵ × 1987¹ × 31799¹
LCM(63584,63598) = 2021907616