What is the Least Common Multiple of 72345 and 72358?

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 72345 and 72358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72345 and 72358, than apply into the LCM equation.

GCF(72345,72358) = 13
LCM(72345,72358) = ( 72345 × 72358) / 13
LCM(72345,72358) = 5234739510 / 13
LCM(72345,72358) = 402672270

Least Common Multiple (LCM) of 72345 and 72358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72345 and 72358. First we will calculate the prime factors of 72345 and 72358.

Prime Factorization of 72345

Prime Factorization of 72358

Now multiplying the highest exponent prime factors to calculate the LCM of 72345 and 72358.

LCM(72345,72358) = 3¹ × 5¹ × 7¹ × 13¹ × 53¹ × 2¹ × 11² × 23¹
LCM(72345,72358) = 402672270