What is the Least Common Multiple of 42377 and 42381?

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 42377 and 42381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42377 and 42381, than apply into the LCM equation.

GCF(42377,42381) = 1
LCM(42377,42381) = ( 42377 × 42381) / 1
LCM(42377,42381) = 1795979637 / 1
LCM(42377,42381) = 1795979637

Least Common Multiple (LCM) of 42377 and 42381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42377 and 42381. First we will calculate the prime factors of 42377 and 42381.

Prime Factorization of 42377

Prime Factorization of 42381

Now multiplying the highest exponent prime factors to calculate the LCM of 42377 and 42381.

LCM(42377,42381) = 31¹ × 1367¹ × 3² × 17¹ × 277¹
LCM(42377,42381) = 1795979637