What is the Least Common Multiple of 23420 and 23438?

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 23420 and 23438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23420 and 23438, than apply into the LCM equation.

GCF(23420,23438) = 2
LCM(23420,23438) = ( 23420 × 23438) / 2
LCM(23420,23438) = 548917960 / 2
LCM(23420,23438) = 274458980

Least Common Multiple (LCM) of 23420 and 23438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23420 and 23438. First we will calculate the prime factors of 23420 and 23438.

Prime Factorization of 23420

Prime Factorization of 23438

Now multiplying the highest exponent prime factors to calculate the LCM of 23420 and 23438.

LCM(23420,23438) = 2² × 5¹ × 1171¹ × 11719¹
LCM(23420,23438) = 274458980