GCF and LCM Calculator Logo

What is the Least Common Multiple of 9231 and 9242?

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 9231 and 9242 is 85312902.

LCM(9231,9242) = 85312902

LCM Calculator and
and

Least Common Multiple of 9231 and 9242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9231 and 9242, than apply into the LCM equation.

GCF(9231,9242) = 1
LCM(9231,9242) = ( 9231 × 9242) / 1
LCM(9231,9242) = 85312902 / 1
LCM(9231,9242) = 85312902

Least Common Multiple (LCM) of 9231 and 9242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9231 and 9242. First we will calculate the prime factors of 9231 and 9242.

Prime Factorization of 9231

Prime factors of 9231 are 3, 17, 181. Prime factorization of 9231 in exponential form is:

9231 = 31 × 171 × 1811

Prime Factorization of 9242

Prime factors of 9242 are 2, 4621. Prime factorization of 9242 in exponential form is:

9242 = 21 × 46211

Now multiplying the highest exponent prime factors to calculate the LCM of 9231 and 9242.

LCM(9231,9242) = 31 × 171 × 1811 × 21 × 46211
LCM(9231,9242) = 85312902