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What is the Least Common Multiple of 92244 and 92258?

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 92244 and 92258 is 4255123476.

LCM(92244,92258) = 4255123476

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Least Common Multiple of 92244 and 92258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92244 and 92258, than apply into the LCM equation.

GCF(92244,92258) = 2
LCM(92244,92258) = ( 92244 × 92258) / 2
LCM(92244,92258) = 8510246952 / 2
LCM(92244,92258) = 4255123476

Least Common Multiple (LCM) of 92244 and 92258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92244 and 92258. First we will calculate the prime factors of 92244 and 92258.

Prime Factorization of 92244

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

92244 = 22 × 31 × 76871

Prime Factorization of 92258

Prime factors of 92258 are 2, 163, 283. Prime factorization of 92258 in exponential form is:

92258 = 21 × 1631 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 92244 and 92258.

LCM(92244,92258) = 22 × 31 × 76871 × 1631 × 2831
LCM(92244,92258) = 4255123476