What is the Least Common Multiple of 5091 and 5106?

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 5091 and 5106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5091 and 5106, than apply into the LCM equation.

GCF(5091,5106) = 3
LCM(5091,5106) = ( 5091 × 5106) / 3
LCM(5091,5106) = 25994646 / 3
LCM(5091,5106) = 8664882

Least Common Multiple (LCM) of 5091 and 5106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5091 and 5106. First we will calculate the prime factors of 5091 and 5106.

Prime Factorization of 5091

Prime Factorization of 5106

Now multiplying the highest exponent prime factors to calculate the LCM of 5091 and 5106.

LCM(5091,5106) = 3¹ × 1697¹ × 2¹ × 23¹ × 37¹
LCM(5091,5106) = 8664882