What is the Least Common Multiple of 63301 and 63309?

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 63301 and 63309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63301 and 63309, than apply into the LCM equation.

GCF(63301,63309) = 1
LCM(63301,63309) = ( 63301 × 63309) / 1
LCM(63301,63309) = 4007523009 / 1
LCM(63301,63309) = 4007523009

Least Common Multiple (LCM) of 63301 and 63309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63301 and 63309. First we will calculate the prime factors of 63301 and 63309.

Prime Factorization of 63301

Prime Factorization of 63309

Now multiplying the highest exponent prime factors to calculate the LCM of 63301 and 63309.

LCM(63301,63309) = 7¹ × 9043¹ × 3¹ × 47¹ × 449¹
LCM(63301,63309) = 4007523009