What is the Least Common Multiple of 76803 and 76809?

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 76803 and 76809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76803 and 76809, than apply into the LCM equation.

GCF(76803,76809) = 3
LCM(76803,76809) = ( 76803 × 76809) / 3
LCM(76803,76809) = 5899161627 / 3
LCM(76803,76809) = 1966387209

Least Common Multiple (LCM) of 76803 and 76809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76803 and 76809. First we will calculate the prime factors of 76803 and 76809.

Prime Factorization of 76803

Prime Factorization of 76809

Now multiplying the highest exponent prime factors to calculate the LCM of 76803 and 76809.

LCM(76803,76809) = 3¹ × 25601¹ × 25603¹
LCM(76803,76809) = 1966387209