What is the Least Common Multiple of 55340 and 55345?

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 55340 and 55345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55340 and 55345, than apply into the LCM equation.

GCF(55340,55345) = 5
LCM(55340,55345) = ( 55340 × 55345) / 5
LCM(55340,55345) = 3062792300 / 5
LCM(55340,55345) = 612558460

Least Common Multiple (LCM) of 55340 and 55345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55340 and 55345. First we will calculate the prime factors of 55340 and 55345.

Prime Factorization of 55340

Prime Factorization of 55345

Now multiplying the highest exponent prime factors to calculate the LCM of 55340 and 55345.

LCM(55340,55345) = 2² × 5¹ × 2767¹ × 11069¹
LCM(55340,55345) = 612558460