What is the Least Common Multiple of 22419 and 22438?

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 22419 and 22438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22419 and 22438, than apply into the LCM equation.

GCF(22419,22438) = 1
LCM(22419,22438) = ( 22419 × 22438) / 1
LCM(22419,22438) = 503037522 / 1
LCM(22419,22438) = 503037522

Least Common Multiple (LCM) of 22419 and 22438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22419 and 22438. First we will calculate the prime factors of 22419 and 22438.

Prime Factorization of 22419

Prime Factorization of 22438

Now multiplying the highest exponent prime factors to calculate the LCM of 22419 and 22438.

LCM(22419,22438) = 3² × 47¹ × 53¹ × 2¹ × 13¹ × 863¹
LCM(22419,22438) = 503037522