What is the Least Common Multiple of 5320 and 5333?

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 5320 and 5333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5320 and 5333, than apply into the LCM equation.

GCF(5320,5333) = 1
LCM(5320,5333) = ( 5320 × 5333) / 1
LCM(5320,5333) = 28371560 / 1
LCM(5320,5333) = 28371560

Least Common Multiple (LCM) of 5320 and 5333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5320 and 5333. First we will calculate the prime factors of 5320 and 5333.

Prime Factorization of 5320

Prime Factorization of 5333

Now multiplying the highest exponent prime factors to calculate the LCM of 5320 and 5333.

LCM(5320,5333) = 2³ × 5¹ × 7¹ × 19¹ × 5333¹
LCM(5320,5333) = 28371560