What is the Least Common Multiple of 63824 and 63842?

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 63824 and 63842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63824 and 63842, than apply into the LCM equation.

GCF(63824,63842) = 2
LCM(63824,63842) = ( 63824 × 63842) / 2
LCM(63824,63842) = 4074651808 / 2
LCM(63824,63842) = 2037325904

Least Common Multiple (LCM) of 63824 and 63842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63824 and 63842. First we will calculate the prime factors of 63824 and 63842.

Prime Factorization of 63824

Prime Factorization of 63842

Now multiplying the highest exponent prime factors to calculate the LCM of 63824 and 63842.

LCM(63824,63842) = 2⁴ × 3989¹ × 137¹ × 233¹
LCM(63824,63842) = 2037325904