What is the Least Common Multiple of 57324 and 57341?

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 57324 and 57341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57324 and 57341, than apply into the LCM equation.

GCF(57324,57341) = 17
LCM(57324,57341) = ( 57324 × 57341) / 17
LCM(57324,57341) = 3287015484 / 17
LCM(57324,57341) = 193353852

Least Common Multiple (LCM) of 57324 and 57341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57324 and 57341. First we will calculate the prime factors of 57324 and 57341.

Prime Factorization of 57324

Prime Factorization of 57341

Now multiplying the highest exponent prime factors to calculate the LCM of 57324 and 57341.

LCM(57324,57341) = 2² × 3¹ × 17¹ × 281¹ × 3373¹
LCM(57324,57341) = 193353852