What is the Least Common Multiple of 72693 and 72699?

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 72693 and 72699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72693 and 72699, than apply into the LCM equation.

GCF(72693,72699) = 3
LCM(72693,72699) = ( 72693 × 72699) / 3
LCM(72693,72699) = 5284708407 / 3
LCM(72693,72699) = 1761569469

Least Common Multiple (LCM) of 72693 and 72699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72693 and 72699. First we will calculate the prime factors of 72693 and 72699.

Prime Factorization of 72693

Prime Factorization of 72699

Now multiplying the highest exponent prime factors to calculate the LCM of 72693 and 72699.

LCM(72693,72699) = 3² × 41¹ × 197¹ × 11¹ × 2203¹
LCM(72693,72699) = 1761569469