What is the Least Common Multiple of 42330 and 42345?

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 42330 and 42345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42330 and 42345, than apply into the LCM equation.

GCF(42330,42345) = 15
LCM(42330,42345) = ( 42330 × 42345) / 15
LCM(42330,42345) = 1792463850 / 15
LCM(42330,42345) = 119497590

Least Common Multiple (LCM) of 42330 and 42345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42330 and 42345. First we will calculate the prime factors of 42330 and 42345.

Prime Factorization of 42330

Prime Factorization of 42345

Now multiplying the highest exponent prime factors to calculate the LCM of 42330 and 42345.

LCM(42330,42345) = 2¹ × 3² × 5¹ × 17¹ × 83¹ × 941¹
LCM(42330,42345) = 119497590