What is the Least Common Multiple of 23457 and 23461?

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 23457 and 23461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23457 and 23461, than apply into the LCM equation.

GCF(23457,23461) = 1
LCM(23457,23461) = ( 23457 × 23461) / 1
LCM(23457,23461) = 550324677 / 1
LCM(23457,23461) = 550324677

Least Common Multiple (LCM) of 23457 and 23461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23457 and 23461. First we will calculate the prime factors of 23457 and 23461.

Prime Factorization of 23457

Prime Factorization of 23461

Now multiplying the highest exponent prime factors to calculate the LCM of 23457 and 23461.

LCM(23457,23461) = 3¹ × 7¹ × 1117¹ × 29¹ × 809¹
LCM(23457,23461) = 550324677