What is the Least Common Multiple of 78297 and 78303?

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 78297 and 78303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78297 and 78303, than apply into the LCM equation.

GCF(78297,78303) = 3
LCM(78297,78303) = ( 78297 × 78303) / 3
LCM(78297,78303) = 6130889991 / 3
LCM(78297,78303) = 2043629997

Least Common Multiple (LCM) of 78297 and 78303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78297 and 78303. First we will calculate the prime factors of 78297 and 78303.

Prime Factorization of 78297

Prime Factorization of 78303

Now multiplying the highest exponent prime factors to calculate the LCM of 78297 and 78303.

LCM(78297,78303) = 3¹ × 26099¹ × 43¹ × 607¹
LCM(78297,78303) = 2043629997