What is the Least Common Multiple of 55320 and 55338?

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 55320 and 55338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55320 and 55338, than apply into the LCM equation.

GCF(55320,55338) = 6
LCM(55320,55338) = ( 55320 × 55338) / 6
LCM(55320,55338) = 3061298160 / 6
LCM(55320,55338) = 510216360

Least Common Multiple (LCM) of 55320 and 55338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55320 and 55338. First we will calculate the prime factors of 55320 and 55338.

Prime Factorization of 55320

Prime Factorization of 55338

Now multiplying the highest exponent prime factors to calculate the LCM of 55320 and 55338.

LCM(55320,55338) = 2³ × 3¹ × 5¹ × 461¹ × 23¹ × 401¹
LCM(55320,55338) = 510216360