GCF and LCM Calculator Logo

What is the Least Common Multiple of 9211 and 9225?

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 9211 and 9225 is 84971475.

LCM(9211,9225) = 84971475

LCM Calculator and
and

Least Common Multiple of 9211 and 9225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9211 and 9225, than apply into the LCM equation.

GCF(9211,9225) = 1
LCM(9211,9225) = ( 9211 × 9225) / 1
LCM(9211,9225) = 84971475 / 1
LCM(9211,9225) = 84971475

Least Common Multiple (LCM) of 9211 and 9225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9211 and 9225. First we will calculate the prime factors of 9211 and 9225.

Prime Factorization of 9211

Prime factors of 9211 are 61, 151. Prime factorization of 9211 in exponential form is:

9211 = 611 × 1511

Prime Factorization of 9225

Prime factors of 9225 are 3, 5, 41. Prime factorization of 9225 in exponential form is:

9225 = 32 × 52 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 9211 and 9225.

LCM(9211,9225) = 611 × 1511 × 32 × 52 × 411
LCM(9211,9225) = 84971475