What is the Least Common Multiple of 5309 and 5316?

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 5309 and 5316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5309 and 5316, than apply into the LCM equation.

GCF(5309,5316) = 1
LCM(5309,5316) = ( 5309 × 5316) / 1
LCM(5309,5316) = 28222644 / 1
LCM(5309,5316) = 28222644

Least Common Multiple (LCM) of 5309 and 5316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5309 and 5316. First we will calculate the prime factors of 5309 and 5316.

Prime Factorization of 5309

Prime Factorization of 5316

Now multiplying the highest exponent prime factors to calculate the LCM of 5309 and 5316.

LCM(5309,5316) = 5309¹ × 2² × 3¹ × 443¹
LCM(5309,5316) = 28222644