What is the Least Common Multiple of 63983 and 63997?

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 63997 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 63997, than apply into the LCM equation.

GCF(63983,63997) = 1
LCM(63983,63997) = ( 63983 × 63997) / 1
LCM(63983,63997) = 4094720051 / 1
LCM(63983,63997) = 4094720051

Least Common Multiple (LCM) of 63983 and 63997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63983 and 63997. First we will calculate the prime factors of 63983 and 63997.

Prime Factorization of 63983

Prime Factorization of 63997

Now multiplying the highest exponent prime factors to calculate the LCM of 63983 and 63997.

LCM(63983,63997) = 109¹ × 587¹ × 63997¹
LCM(63983,63997) = 4094720051