What is the Least Common Multiple of 23443 and 23460?

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 23443 and 23460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23443 and 23460, than apply into the LCM equation.

GCF(23443,23460) = 17
LCM(23443,23460) = ( 23443 × 23460) / 17
LCM(23443,23460) = 549972780 / 17
LCM(23443,23460) = 32351340

Least Common Multiple (LCM) of 23443 and 23460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23443 and 23460. First we will calculate the prime factors of 23443 and 23460.

Prime Factorization of 23443

Prime Factorization of 23460

Now multiplying the highest exponent prime factors to calculate the LCM of 23443 and 23460.

LCM(23443,23460) = 7¹ × 17¹ × 197¹ × 2² × 3¹ × 5¹ × 23¹
LCM(23443,23460) = 32351340