What is the Least Common Multiple of 6363 and 6383?

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 6363 and 6383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6363 and 6383, than apply into the LCM equation.

GCF(6363,6383) = 1
LCM(6363,6383) = ( 6363 × 6383) / 1
LCM(6363,6383) = 40615029 / 1
LCM(6363,6383) = 40615029

Least Common Multiple (LCM) of 6363 and 6383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6363 and 6383. First we will calculate the prime factors of 6363 and 6383.

Prime Factorization of 6363

Prime Factorization of 6383

Now multiplying the highest exponent prime factors to calculate the LCM of 6363 and 6383.

LCM(6363,6383) = 3² × 7¹ × 101¹ × 13¹ × 491¹
LCM(6363,6383) = 40615029