What is the Least Common Multiple of 42312 and 42321?

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 42312 and 42321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42312 and 42321, than apply into the LCM equation.

GCF(42312,42321) = 3
LCM(42312,42321) = ( 42312 × 42321) / 3
LCM(42312,42321) = 1790686152 / 3
LCM(42312,42321) = 596895384

Least Common Multiple (LCM) of 42312 and 42321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42312 and 42321. First we will calculate the prime factors of 42312 and 42321.

Prime Factorization of 42312

Prime Factorization of 42321

Now multiplying the highest exponent prime factors to calculate the LCM of 42312 and 42321.

LCM(42312,42321) = 2³ × 3¹ × 41¹ × 43¹ × 14107¹
LCM(42312,42321) = 596895384