What is the Least Common Multiple of 63375 and 63393?

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 63375 and 63393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63375 and 63393, than apply into the LCM equation.

GCF(63375,63393) = 3
LCM(63375,63393) = ( 63375 × 63393) / 3
LCM(63375,63393) = 4017531375 / 3
LCM(63375,63393) = 1339177125

Least Common Multiple (LCM) of 63375 and 63393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63375 and 63393. First we will calculate the prime factors of 63375 and 63393.

Prime Factorization of 63375

Prime Factorization of 63393

Now multiplying the highest exponent prime factors to calculate the LCM of 63375 and 63393.

LCM(63375,63393) = 3¹ × 5³ × 13² × 11¹ × 17¹ × 113¹
LCM(63375,63393) = 1339177125