What is the Least Common Multiple of 55341 and 55357?

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 55341 and 55357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55341 and 55357, than apply into the LCM equation.

GCF(55341,55357) = 1
LCM(55341,55357) = ( 55341 × 55357) / 1
LCM(55341,55357) = 3063511737 / 1
LCM(55341,55357) = 3063511737

Least Common Multiple (LCM) of 55341 and 55357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55341 and 55357. First we will calculate the prime factors of 55341 and 55357.

Prime Factorization of 55341

Prime Factorization of 55357

Now multiplying the highest exponent prime factors to calculate the LCM of 55341 and 55357.

LCM(55341,55357) = 3² × 11¹ × 13¹ × 43¹ × 197¹ × 281¹
LCM(55341,55357) = 3063511737