What is the Least Common Multiple of 63904 and 63924?

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 63904 and 63924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63904 and 63924, than apply into the LCM equation.

GCF(63904,63924) = 4
LCM(63904,63924) = ( 63904 × 63924) / 4
LCM(63904,63924) = 4084999296 / 4
LCM(63904,63924) = 1021249824

Least Common Multiple (LCM) of 63904 and 63924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63904 and 63924. First we will calculate the prime factors of 63904 and 63924.

Prime Factorization of 63904

Prime Factorization of 63924

Now multiplying the highest exponent prime factors to calculate the LCM of 63904 and 63924.

LCM(63904,63924) = 2⁵ × 1997¹ × 3¹ × 7¹ × 761¹
LCM(63904,63924) = 1021249824