GCF and LCM Calculator Logo

What is the Least Common Multiple of 92909 and 92918?

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 92909 and 92918 is 8632918462.

LCM(92909,92918) = 8632918462

LCM Calculator and
and

Least Common Multiple of 92909 and 92918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92909 and 92918, than apply into the LCM equation.

GCF(92909,92918) = 1
LCM(92909,92918) = ( 92909 × 92918) / 1
LCM(92909,92918) = 8632918462 / 1
LCM(92909,92918) = 8632918462

Least Common Multiple (LCM) of 92909 and 92918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92909 and 92918. First we will calculate the prime factors of 92909 and 92918.

Prime Factorization of 92909

Prime factors of 92909 are 53, 1753. Prime factorization of 92909 in exponential form is:

92909 = 531 × 17531

Prime Factorization of 92918

Prime factors of 92918 are 2, 7, 6637. Prime factorization of 92918 in exponential form is:

92918 = 21 × 71 × 66371

Now multiplying the highest exponent prime factors to calculate the LCM of 92909 and 92918.

LCM(92909,92918) = 531 × 17531 × 21 × 71 × 66371
LCM(92909,92918) = 8632918462