What is the Least Common Multiple of 63983 and 63999?

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 63983 and 63999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63983 and 63999, than apply into the LCM equation.

GCF(63983,63999) = 1
LCM(63983,63999) = ( 63983 × 63999) / 1
LCM(63983,63999) = 4094848017 / 1
LCM(63983,63999) = 4094848017

Least Common Multiple (LCM) of 63983 and 63999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63983 and 63999. First we will calculate the prime factors of 63983 and 63999.

Prime Factorization of 63983

Prime Factorization of 63999

Now multiplying the highest exponent prime factors to calculate the LCM of 63983 and 63999.

LCM(63983,63999) = 109¹ × 587¹ × 3² × 13¹ × 547¹
LCM(63983,63999) = 4094848017