GCF and LCM Calculator Logo

What is the Least Common Multiple of 96467 and 96486?

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 96467 and 96486 is 9307714962.

LCM(96467,96486) = 9307714962

LCM Calculator and
and

Least Common Multiple of 96467 and 96486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96467 and 96486, than apply into the LCM equation.

GCF(96467,96486) = 1
LCM(96467,96486) = ( 96467 × 96486) / 1
LCM(96467,96486) = 9307714962 / 1
LCM(96467,96486) = 9307714962

Least Common Multiple (LCM) of 96467 and 96486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96467 and 96486. First we will calculate the prime factors of 96467 and 96486.

Prime Factorization of 96467

Prime factors of 96467 are 7, 13781. Prime factorization of 96467 in exponential form is:

96467 = 71 × 137811

Prime Factorization of 96486

Prime factors of 96486 are 2, 3, 13, 1237. Prime factorization of 96486 in exponential form is:

96486 = 21 × 31 × 131 × 12371

Now multiplying the highest exponent prime factors to calculate the LCM of 96467 and 96486.

LCM(96467,96486) = 71 × 137811 × 21 × 31 × 131 × 12371
LCM(96467,96486) = 9307714962