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What is the Least Common Multiple of 92234 and 92254?

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 92254 is 4254477718.

LCM(92234,92254) = 4254477718

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Least Common Multiple of 92234 and 92254 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 92254, than apply into the LCM equation.

GCF(92234,92254) = 2
LCM(92234,92254) = ( 92234 × 92254) / 2
LCM(92234,92254) = 8508955436 / 2
LCM(92234,92254) = 4254477718

Least Common Multiple (LCM) of 92234 and 92254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92234 and 92254. First we will calculate the prime factors of 92234 and 92254.

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 92254

Prime factors of 92254 are 2, 193, 239. Prime factorization of 92254 in exponential form is:

92254 = 21 × 1931 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 92234 and 92254.

LCM(92234,92254) = 21 × 1071 × 4311 × 1931 × 2391
LCM(92234,92254) = 4254477718