What is the Least Common Multiple of 42294 and 42309?

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 42294 and 42309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42294 and 42309, than apply into the LCM equation.

GCF(42294,42309) = 3
LCM(42294,42309) = ( 42294 × 42309) / 3
LCM(42294,42309) = 1789416846 / 3
LCM(42294,42309) = 596472282

Least Common Multiple (LCM) of 42294 and 42309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42294 and 42309. First we will calculate the prime factors of 42294 and 42309.

Prime Factorization of 42294

Prime Factorization of 42309

Now multiplying the highest exponent prime factors to calculate the LCM of 42294 and 42309.

LCM(42294,42309) = 2¹ × 3³ × 7¹ × 19¹ × 53¹ × 1567¹
LCM(42294,42309) = 596472282