What is the Least Common Multiple of 63099 and 63103?

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 63099 and 63103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63099 and 63103, than apply into the LCM equation.

GCF(63099,63103) = 1
LCM(63099,63103) = ( 63099 × 63103) / 1
LCM(63099,63103) = 3981736197 / 1
LCM(63099,63103) = 3981736197

Least Common Multiple (LCM) of 63099 and 63103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63099 and 63103. First we will calculate the prime factors of 63099 and 63103.

Prime Factorization of 63099

Prime Factorization of 63103

Now multiplying the highest exponent prime factors to calculate the LCM of 63099 and 63103.

LCM(63099,63103) = 3⁴ × 19¹ × 41¹ × 63103¹
LCM(63099,63103) = 3981736197