What is the Least Common Multiple of 72330 and 72349?

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 72330 and 72349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72330 and 72349, than apply into the LCM equation.

GCF(72330,72349) = 1
LCM(72330,72349) = ( 72330 × 72349) / 1
LCM(72330,72349) = 5233003170 / 1
LCM(72330,72349) = 5233003170

Least Common Multiple (LCM) of 72330 and 72349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72330 and 72349. First we will calculate the prime factors of 72330 and 72349.

Prime Factorization of 72330

Prime Factorization of 72349

Now multiplying the highest exponent prime factors to calculate the LCM of 72330 and 72349.

LCM(72330,72349) = 2¹ × 3¹ × 5¹ × 2411¹ × 71¹ × 1019¹
LCM(72330,72349) = 5233003170