What is the Least Common Multiple of 5314 and 5320?

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 5314 and 5320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5314 and 5320, than apply into the LCM equation.

GCF(5314,5320) = 2
LCM(5314,5320) = ( 5314 × 5320) / 2
LCM(5314,5320) = 28270480 / 2
LCM(5314,5320) = 14135240

Least Common Multiple (LCM) of 5314 and 5320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5314 and 5320. First we will calculate the prime factors of 5314 and 5320.

Prime Factorization of 5314

Prime Factorization of 5320

Now multiplying the highest exponent prime factors to calculate the LCM of 5314 and 5320.

LCM(5314,5320) = 2³ × 2657¹ × 5¹ × 7¹ × 19¹
LCM(5314,5320) = 14135240