What is the Least Common Multiple of 63396 and 63400?

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 63396 and 63400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63396 and 63400, than apply into the LCM equation.

GCF(63396,63400) = 4
LCM(63396,63400) = ( 63396 × 63400) / 4
LCM(63396,63400) = 4019306400 / 4
LCM(63396,63400) = 1004826600

Least Common Multiple (LCM) of 63396 and 63400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63396 and 63400. First we will calculate the prime factors of 63396 and 63400.

Prime Factorization of 63396

Prime Factorization of 63400

Now multiplying the highest exponent prime factors to calculate the LCM of 63396 and 63400.

LCM(63396,63400) = 2³ × 3³ × 587¹ × 5² × 317¹
LCM(63396,63400) = 1004826600