What is the Least Common Multiple of 23467 and 23479?

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 23467 and 23479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23467 and 23479, than apply into the LCM equation.

GCF(23467,23479) = 1
LCM(23467,23479) = ( 23467 × 23479) / 1
LCM(23467,23479) = 550981693 / 1
LCM(23467,23479) = 550981693

Least Common Multiple (LCM) of 23467 and 23479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23467 and 23479. First we will calculate the prime factors of 23467 and 23479.

Prime Factorization of 23467

Prime Factorization of 23479

Now multiplying the highest exponent prime factors to calculate the LCM of 23467 and 23479.

LCM(23467,23479) = 31¹ × 757¹ × 53¹ × 443¹
LCM(23467,23479) = 550981693