What is the Least Common Multiple of 23461 and 23476?

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 23461 and 23476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23461 and 23476, than apply into the LCM equation.

GCF(23461,23476) = 1
LCM(23461,23476) = ( 23461 × 23476) / 1
LCM(23461,23476) = 550770436 / 1
LCM(23461,23476) = 550770436

Least Common Multiple (LCM) of 23461 and 23476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23461 and 23476. First we will calculate the prime factors of 23461 and 23476.

Prime Factorization of 23461

Prime Factorization of 23476

Now multiplying the highest exponent prime factors to calculate the LCM of 23461 and 23476.

LCM(23461,23476) = 29¹ × 809¹ × 2² × 5869¹
LCM(23461,23476) = 550770436