What is the Least Common Multiple of 42309 and 42318?

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 42309 and 42318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42309 and 42318, than apply into the LCM equation.

GCF(42309,42318) = 9
LCM(42309,42318) = ( 42309 × 42318) / 9
LCM(42309,42318) = 1790432262 / 9
LCM(42309,42318) = 198936918

Least Common Multiple (LCM) of 42309 and 42318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42309 and 42318. First we will calculate the prime factors of 42309 and 42318.

Prime Factorization of 42309

Prime Factorization of 42318

Now multiplying the highest exponent prime factors to calculate the LCM of 42309 and 42318.

LCM(42309,42318) = 3³ × 1567¹ × 2¹ × 2351¹
LCM(42309,42318) = 198936918