What is the Least Common Multiple of 61323 and 61338?

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 61323 and 61338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61323 and 61338, than apply into the LCM equation.

GCF(61323,61338) = 3
LCM(61323,61338) = ( 61323 × 61338) / 3
LCM(61323,61338) = 3761430174 / 3
LCM(61323,61338) = 1253810058

Least Common Multiple (LCM) of 61323 and 61338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61323 and 61338. First we will calculate the prime factors of 61323 and 61338.

Prime Factorization of 61323

Prime Factorization of 61338

Now multiplying the highest exponent prime factors to calculate the LCM of 61323 and 61338.

LCM(61323,61338) = 3¹ × 20441¹ × 2¹ × 10223¹
LCM(61323,61338) = 1253810058