What is the Least Common Multiple of 72335 and 72345?

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 72335 and 72345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72335 and 72345, than apply into the LCM equation.

GCF(72335,72345) = 5
LCM(72335,72345) = ( 72335 × 72345) / 5
LCM(72335,72345) = 5233075575 / 5
LCM(72335,72345) = 1046615115

Least Common Multiple (LCM) of 72335 and 72345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72335 and 72345. First we will calculate the prime factors of 72335 and 72345.

Prime Factorization of 72335

Prime Factorization of 72345

Now multiplying the highest exponent prime factors to calculate the LCM of 72335 and 72345.

LCM(72335,72345) = 5¹ × 17¹ × 23¹ × 37¹ × 3¹ × 7¹ × 13¹ × 53¹
LCM(72335,72345) = 1046615115