What is the Least Common Multiple of 53314 and 53320?

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 53314 and 53320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53314 and 53320, than apply into the LCM equation.

GCF(53314,53320) = 2
LCM(53314,53320) = ( 53314 × 53320) / 2
LCM(53314,53320) = 2842702480 / 2
LCM(53314,53320) = 1421351240

Least Common Multiple (LCM) of 53314 and 53320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53314 and 53320. First we will calculate the prime factors of 53314 and 53320.

Prime Factorization of 53314

Prime Factorization of 53320

Now multiplying the highest exponent prime factors to calculate the LCM of 53314 and 53320.

LCM(53314,53320) = 2³ × 19¹ × 23¹ × 61¹ × 5¹ × 31¹ × 43¹
LCM(53314,53320) = 1421351240