What is the Least Common Multiple of 9162 and 9176?

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 9162 and 9176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9162 and 9176, than apply into the LCM equation.

GCF(9162,9176) = 2
LCM(9162,9176) = ( 9162 × 9176) / 2
LCM(9162,9176) = 84070512 / 2
LCM(9162,9176) = 42035256

Least Common Multiple (LCM) of 9162 and 9176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9162 and 9176. First we will calculate the prime factors of 9162 and 9176.

Prime Factorization of 9162

Prime Factorization of 9176

Now multiplying the highest exponent prime factors to calculate the LCM of 9162 and 9176.

LCM(9162,9176) = 2³ × 3² × 509¹ × 31¹ × 37¹
LCM(9162,9176) = 42035256