What is the Least Common Multiple of 55320 and 55335?

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 55335 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 55335, than apply into the LCM equation.

GCF(55320,55335) = 15
LCM(55320,55335) = ( 55320 × 55335) / 15
LCM(55320,55335) = 3061132200 / 15
LCM(55320,55335) = 204075480

Least Common Multiple (LCM) of 55320 and 55335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55320 and 55335. First we will calculate the prime factors of 55320 and 55335.

Prime Factorization of 55320

Prime Factorization of 55335

Now multiplying the highest exponent prime factors to calculate the LCM of 55320 and 55335.

LCM(55320,55335) = 2³ × 3¹ × 5¹ × 461¹ × 7¹ × 17¹ × 31¹
LCM(55320,55335) = 204075480