What is the Least Common Multiple of 9112 and 9131?

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 9112 and 9131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9112 and 9131, than apply into the LCM equation.

GCF(9112,9131) = 1
LCM(9112,9131) = ( 9112 × 9131) / 1
LCM(9112,9131) = 83201672 / 1
LCM(9112,9131) = 83201672

Least Common Multiple (LCM) of 9112 and 9131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9112 and 9131. First we will calculate the prime factors of 9112 and 9131.

Prime Factorization of 9112

Prime Factorization of 9131

Now multiplying the highest exponent prime factors to calculate the LCM of 9112 and 9131.

LCM(9112,9131) = 2³ × 17¹ × 67¹ × 23¹ × 397¹
LCM(9112,9131) = 83201672