What is the Least Common Multiple of 5314 and 5318?

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 5318 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 5318, than apply into the LCM equation.

GCF(5314,5318) = 2
LCM(5314,5318) = ( 5314 × 5318) / 2
LCM(5314,5318) = 28259852 / 2
LCM(5314,5318) = 14129926

Least Common Multiple (LCM) of 5314 and 5318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5314 and 5318. First we will calculate the prime factors of 5314 and 5318.

Prime Factorization of 5314

Prime Factorization of 5318

Now multiplying the highest exponent prime factors to calculate the LCM of 5314 and 5318.

LCM(5314,5318) = 2¹ × 2657¹ × 2659¹
LCM(5314,5318) = 14129926