What is the Least Common Multiple of 55320 and 55334?

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 55334 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 55334, than apply into the LCM equation.

GCF(55320,55334) = 2
LCM(55320,55334) = ( 55320 × 55334) / 2
LCM(55320,55334) = 3061076880 / 2
LCM(55320,55334) = 1530538440

Least Common Multiple (LCM) of 55320 and 55334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55320 and 55334. First we will calculate the prime factors of 55320 and 55334.

Prime Factorization of 55320

Prime Factorization of 55334

Now multiplying the highest exponent prime factors to calculate the LCM of 55320 and 55334.

LCM(55320,55334) = 2³ × 3¹ × 5¹ × 461¹ × 73¹ × 379¹
LCM(55320,55334) = 1530538440