GCF and LCM Calculator Logo

What is the Least Common Multiple of 94461 and 94465?

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 94461 and 94465 is 8923258365.

LCM(94461,94465) = 8923258365

LCM Calculator and
and

Least Common Multiple of 94461 and 94465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94461 and 94465, than apply into the LCM equation.

GCF(94461,94465) = 1
LCM(94461,94465) = ( 94461 × 94465) / 1
LCM(94461,94465) = 8923258365 / 1
LCM(94461,94465) = 8923258365

Least Common Multiple (LCM) of 94461 and 94465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94461 and 94465. First we will calculate the prime factors of 94461 and 94465.

Prime Factorization of 94461

Prime factors of 94461 are 3, 23, 37. Prime factorization of 94461 in exponential form is:

94461 = 31 × 231 × 372

Prime Factorization of 94465

Prime factors of 94465 are 5, 7, 2699. Prime factorization of 94465 in exponential form is:

94465 = 51 × 71 × 26991

Now multiplying the highest exponent prime factors to calculate the LCM of 94461 and 94465.

LCM(94461,94465) = 31 × 231 × 372 × 51 × 71 × 26991
LCM(94461,94465) = 8923258365