What is the Least Common Multiple of 63829 and 63847?

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 63829 and 63847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63829 and 63847, than apply into the LCM equation.

GCF(63829,63847) = 1
LCM(63829,63847) = ( 63829 × 63847) / 1
LCM(63829,63847) = 4075290163 / 1
LCM(63829,63847) = 4075290163

Least Common Multiple (LCM) of 63829 and 63847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63829 and 63847. First we will calculate the prime factors of 63829 and 63847.

Prime Factorization of 63829

Prime Factorization of 63847

Now multiplying the highest exponent prime factors to calculate the LCM of 63829 and 63847.

LCM(63829,63847) = 29¹ × 31¹ × 71¹ × 7² × 1303¹
LCM(63829,63847) = 4075290163