What is the Least Common Multiple of 55329 and 55347?

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 55329 and 55347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55329 and 55347, than apply into the LCM equation.

GCF(55329,55347) = 3
LCM(55329,55347) = ( 55329 × 55347) / 3
LCM(55329,55347) = 3062294163 / 3
LCM(55329,55347) = 1020764721

Least Common Multiple (LCM) of 55329 and 55347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55329 and 55347. First we will calculate the prime factors of 55329 and 55347.

Prime Factorization of 55329

Prime Factorization of 55347

Now multiplying the highest exponent prime factors to calculate the LCM of 55329 and 55347.

LCM(55329,55347) = 3¹ × 18443¹ × 19¹ × 971¹
LCM(55329,55347) = 1020764721