What is the Least Common Multiple of 42312 and 42328?

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 42328 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 42328, than apply into the LCM equation.

GCF(42312,42328) = 8
LCM(42312,42328) = ( 42312 × 42328) / 8
LCM(42312,42328) = 1790982336 / 8
LCM(42312,42328) = 223872792

Least Common Multiple (LCM) of 42312 and 42328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42312 and 42328. First we will calculate the prime factors of 42312 and 42328.

Prime Factorization of 42312

Prime Factorization of 42328

Now multiplying the highest exponent prime factors to calculate the LCM of 42312 and 42328.

LCM(42312,42328) = 2³ × 3¹ × 41¹ × 43¹ × 11¹ × 13¹ × 37¹
LCM(42312,42328) = 223872792