What is the Least Common Multiple of 63814 and 63828?

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 63814 and 63828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63814 and 63828, than apply into the LCM equation.

GCF(63814,63828) = 2
LCM(63814,63828) = ( 63814 × 63828) / 2
LCM(63814,63828) = 4073119992 / 2
LCM(63814,63828) = 2036559996

Least Common Multiple (LCM) of 63814 and 63828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63814 and 63828. First we will calculate the prime factors of 63814 and 63828.

Prime Factorization of 63814

Prime Factorization of 63828

Now multiplying the highest exponent prime factors to calculate the LCM of 63814 and 63828.

LCM(63814,63828) = 2² × 31907¹ × 3⁴ × 197¹
LCM(63814,63828) = 2036559996