What is the Least Common Multiple of 23345 and 23352?

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 23345 and 23352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23345 and 23352, than apply into the LCM equation.

GCF(23345,23352) = 7
LCM(23345,23352) = ( 23345 × 23352) / 7
LCM(23345,23352) = 545152440 / 7
LCM(23345,23352) = 77878920

Least Common Multiple (LCM) of 23345 and 23352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23345 and 23352. First we will calculate the prime factors of 23345 and 23352.

Prime Factorization of 23345

Prime Factorization of 23352

Now multiplying the highest exponent prime factors to calculate the LCM of 23345 and 23352.

LCM(23345,23352) = 5¹ × 7¹ × 23¹ × 29¹ × 2³ × 3¹ × 139¹
LCM(23345,23352) = 77878920