What is the Least Common Multiple of 63309 and 63313?

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 63309 and 63313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63309 and 63313, than apply into the LCM equation.

GCF(63309,63313) = 1
LCM(63309,63313) = ( 63309 × 63313) / 1
LCM(63309,63313) = 4008282717 / 1
LCM(63309,63313) = 4008282717

Least Common Multiple (LCM) of 63309 and 63313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63309 and 63313. First we will calculate the prime factors of 63309 and 63313.

Prime Factorization of 63309

Prime Factorization of 63313

Now multiplying the highest exponent prime factors to calculate the LCM of 63309 and 63313.

LCM(63309,63313) = 3¹ × 47¹ × 449¹ × 63313¹
LCM(63309,63313) = 4008282717