GCF and LCM Calculator Logo

What is the Least Common Multiple of 92979 and 92993?

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 92979 and 92993 is 8646396147.

LCM(92979,92993) = 8646396147

LCM Calculator and
and

Least Common Multiple of 92979 and 92993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92979 and 92993, than apply into the LCM equation.

GCF(92979,92993) = 1
LCM(92979,92993) = ( 92979 × 92993) / 1
LCM(92979,92993) = 8646396147 / 1
LCM(92979,92993) = 8646396147

Least Common Multiple (LCM) of 92979 and 92993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92979 and 92993. First we will calculate the prime factors of 92979 and 92993.

Prime Factorization of 92979

Prime factors of 92979 are 3, 10331. Prime factorization of 92979 in exponential form is:

92979 = 32 × 103311

Prime Factorization of 92993

Prime factors of 92993 are 92993. Prime factorization of 92993 in exponential form is:

92993 = 929931

Now multiplying the highest exponent prime factors to calculate the LCM of 92979 and 92993.

LCM(92979,92993) = 32 × 103311 × 929931
LCM(92979,92993) = 8646396147