What is the Least Common Multiple of 34402 and 34421?

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 34402 and 34421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34402 and 34421, than apply into the LCM equation.

GCF(34402,34421) = 1
LCM(34402,34421) = ( 34402 × 34421) / 1
LCM(34402,34421) = 1184151242 / 1
LCM(34402,34421) = 1184151242

Least Common Multiple (LCM) of 34402 and 34421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34402 and 34421. First we will calculate the prime factors of 34402 and 34421.

Prime Factorization of 34402

Prime Factorization of 34421

Now multiplying the highest exponent prime factors to calculate the LCM of 34402 and 34421.

LCM(34402,34421) = 2¹ × 103¹ × 167¹ × 34421¹
LCM(34402,34421) = 1184151242