What is the Least Common Multiple of 42419 and 42438?

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 42419 and 42438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42419 and 42438, than apply into the LCM equation.

GCF(42419,42438) = 1
LCM(42419,42438) = ( 42419 × 42438) / 1
LCM(42419,42438) = 1800177522 / 1
LCM(42419,42438) = 1800177522

Least Common Multiple (LCM) of 42419 and 42438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42419 and 42438. First we will calculate the prime factors of 42419 and 42438.

Prime Factorization of 42419

Prime Factorization of 42438

Now multiplying the highest exponent prime factors to calculate the LCM of 42419 and 42438.

LCM(42419,42438) = 13² × 251¹ × 2¹ × 3¹ × 11¹ × 643¹
LCM(42419,42438) = 1800177522