What is the Least Common Multiple of 72329 and 72340?

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 72329 and 72340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72329 and 72340, than apply into the LCM equation.

GCF(72329,72340) = 1
LCM(72329,72340) = ( 72329 × 72340) / 1
LCM(72329,72340) = 5232279860 / 1
LCM(72329,72340) = 5232279860

Least Common Multiple (LCM) of 72329 and 72340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72329 and 72340. First we will calculate the prime factors of 72329 and 72340.

Prime Factorization of 72329

Prime Factorization of 72340

Now multiplying the highest exponent prime factors to calculate the LCM of 72329 and 72340.

LCM(72329,72340) = 151¹ × 479¹ × 2² × 5¹ × 3617¹
LCM(72329,72340) = 5232279860