What is the Least Common Multiple of 63380 and 63395?

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 63380 and 63395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63380 and 63395, than apply into the LCM equation.

GCF(63380,63395) = 5
LCM(63380,63395) = ( 63380 × 63395) / 5
LCM(63380,63395) = 4017975100 / 5
LCM(63380,63395) = 803595020

Least Common Multiple (LCM) of 63380 and 63395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63380 and 63395. First we will calculate the prime factors of 63380 and 63395.

Prime Factorization of 63380

Prime Factorization of 63395

Now multiplying the highest exponent prime factors to calculate the LCM of 63380 and 63395.

LCM(63380,63395) = 2² × 5¹ × 3169¹ × 31¹ × 409¹
LCM(63380,63395) = 803595020