What is the Least Common Multiple of 23423 and 23431?

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 23423 and 23431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23423 and 23431, than apply into the LCM equation.

GCF(23423,23431) = 1
LCM(23423,23431) = ( 23423 × 23431) / 1
LCM(23423,23431) = 548824313 / 1
LCM(23423,23431) = 548824313

Least Common Multiple (LCM) of 23423 and 23431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23423 and 23431. First we will calculate the prime factors of 23423 and 23431.

Prime Factorization of 23423

Prime Factorization of 23431

Now multiplying the highest exponent prime factors to calculate the LCM of 23423 and 23431.

LCM(23423,23431) = 59¹ × 397¹ × 23431¹
LCM(23423,23431) = 548824313