What is the Least Common Multiple of 63312 and 63325?

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 63312 and 63325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63312 and 63325, than apply into the LCM equation.

GCF(63312,63325) = 1
LCM(63312,63325) = ( 63312 × 63325) / 1
LCM(63312,63325) = 4009232400 / 1
LCM(63312,63325) = 4009232400

Least Common Multiple (LCM) of 63312 and 63325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63312 and 63325. First we will calculate the prime factors of 63312 and 63325.

Prime Factorization of 63312

Prime Factorization of 63325

Now multiplying the highest exponent prime factors to calculate the LCM of 63312 and 63325.

LCM(63312,63325) = 2⁴ × 3¹ × 1319¹ × 5² × 17¹ × 149¹
LCM(63312,63325) = 4009232400