What is the Least Common Multiple of 63829 and 63849?

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 63849 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 63849, than apply into the LCM equation.

GCF(63829,63849) = 1
LCM(63829,63849) = ( 63829 × 63849) / 1
LCM(63829,63849) = 4075417821 / 1
LCM(63829,63849) = 4075417821

Least Common Multiple (LCM) of 63829 and 63849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63829 and 63849. First we will calculate the prime factors of 63829 and 63849.

Prime Factorization of 63829

Prime Factorization of 63849

Now multiplying the highest exponent prime factors to calculate the LCM of 63829 and 63849.

LCM(63829,63849) = 29¹ × 31¹ × 71¹ × 3¹ × 21283¹
LCM(63829,63849) = 4075417821