What is the Least Common Multiple of 90339 and 90345?

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 90339 and 90345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90339 and 90345, than apply into the LCM equation.

GCF(90339,90345) = 3
LCM(90339,90345) = ( 90339 × 90345) / 3
LCM(90339,90345) = 8161676955 / 3
LCM(90339,90345) = 2720558985

Least Common Multiple (LCM) of 90339 and 90345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90339 and 90345. First we will calculate the prime factors of 90339 and 90345.

Prime Factorization of 90339

Prime Factorization of 90345

Now multiplying the highest exponent prime factors to calculate the LCM of 90339 and 90345.

LCM(90339,90345) = 3¹ × 30113¹ × 5¹ × 19¹ × 317¹
LCM(90339,90345) = 2720558985