What is the Least Common Multiple of 63297 and 63303?

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 63297 and 63303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63297 and 63303, than apply into the LCM equation.

GCF(63297,63303) = 3
LCM(63297,63303) = ( 63297 × 63303) / 3
LCM(63297,63303) = 4006889991 / 3
LCM(63297,63303) = 1335629997

Least Common Multiple (LCM) of 63297 and 63303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63297 and 63303. First we will calculate the prime factors of 63297 and 63303.

Prime Factorization of 63297

Prime Factorization of 63303

Now multiplying the highest exponent prime factors to calculate the LCM of 63297 and 63303.

LCM(63297,63303) = 3² × 13¹ × 541¹ × 21101¹
LCM(63297,63303) = 1335629997