What is the Least Common Multiple of 63828 and 63834?

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 63828 and 63834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63828 and 63834, than apply into the LCM equation.

GCF(63828,63834) = 6
LCM(63828,63834) = ( 63828 × 63834) / 6
LCM(63828,63834) = 4074396552 / 6
LCM(63828,63834) = 679066092

Least Common Multiple (LCM) of 63828 and 63834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63828 and 63834. First we will calculate the prime factors of 63828 and 63834.

Prime Factorization of 63828

Prime Factorization of 63834

Now multiplying the highest exponent prime factors to calculate the LCM of 63828 and 63834.

LCM(63828,63834) = 2² × 3⁴ × 197¹ × 10639¹
LCM(63828,63834) = 679066092