What is the Least Common Multiple of 5186 and 5196?

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 5186 and 5196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5186 and 5196, than apply into the LCM equation.

GCF(5186,5196) = 2
LCM(5186,5196) = ( 5186 × 5196) / 2
LCM(5186,5196) = 26946456 / 2
LCM(5186,5196) = 13473228

Least Common Multiple (LCM) of 5186 and 5196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5186 and 5196. First we will calculate the prime factors of 5186 and 5196.

Prime Factorization of 5186

Prime Factorization of 5196

Now multiplying the highest exponent prime factors to calculate the LCM of 5186 and 5196.

LCM(5186,5196) = 2² × 2593¹ × 3¹ × 433¹
LCM(5186,5196) = 13473228