GCF and LCM Calculator Logo

What is the Least Common Multiple of 9162 and 9182?

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 (LCM) of 9162 and 9182 is 42062742.

LCM(9162,9182) = 42062742

LCM Calculator and
and

Least Common Multiple of 9162 and 9182 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 9182, than apply into the LCM equation.

GCF(9162,9182) = 2
LCM(9162,9182) = ( 9162 × 9182) / 2
LCM(9162,9182) = 84125484 / 2
LCM(9162,9182) = 42062742

Least Common Multiple (LCM) of 9162 and 9182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9162 and 9182. First we will calculate the prime factors of 9162 and 9182.

Prime Factorization of 9162

Prime factors of 9162 are 2, 3, 509. Prime factorization of 9162 in exponential form is:

9162 = 21 × 32 × 5091

Prime Factorization of 9182

Prime factors of 9182 are 2, 4591. Prime factorization of 9182 in exponential form is:

9182 = 21 × 45911

Now multiplying the highest exponent prime factors to calculate the LCM of 9162 and 9182.

LCM(9162,9182) = 21 × 32 × 5091 × 45911
LCM(9162,9182) = 42062742