GCF and LCM Calculator Logo

What is the Least Common Multiple of 92234 and 92244?

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 92234 and 92244 is 4254016548.

LCM(92234,92244) = 4254016548

LCM Calculator and
and

Least Common Multiple of 92234 and 92244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92234 and 92244, than apply into the LCM equation.

GCF(92234,92244) = 2
LCM(92234,92244) = ( 92234 × 92244) / 2
LCM(92234,92244) = 8508033096 / 2
LCM(92234,92244) = 4254016548

Least Common Multiple (LCM) of 92234 and 92244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92234 and 92244. First we will calculate the prime factors of 92234 and 92244.

Prime Factorization of 92234

Prime factors of 92234 are 2, 107, 431. Prime factorization of 92234 in exponential form is:

92234 = 21 × 1071 × 4311

Prime Factorization of 92244

Prime factors of 92244 are 2, 3, 7687. Prime factorization of 92244 in exponential form is:

92244 = 22 × 31 × 76871

Now multiplying the highest exponent prime factors to calculate the LCM of 92234 and 92244.

LCM(92234,92244) = 22 × 1071 × 4311 × 31 × 76871
LCM(92234,92244) = 4254016548