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What is the Least Common Multiple of 92230 and 92238?

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 92230 and 92238 is 4253555370.

LCM(92230,92238) = 4253555370

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Least Common Multiple of 92230 and 92238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92230 and 92238, than apply into the LCM equation.

GCF(92230,92238) = 2
LCM(92230,92238) = ( 92230 × 92238) / 2
LCM(92230,92238) = 8507110740 / 2
LCM(92230,92238) = 4253555370

Least Common Multiple (LCM) of 92230 and 92238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92230 and 92238. First we will calculate the prime factors of 92230 and 92238.

Prime Factorization of 92230

Prime factors of 92230 are 2, 5, 23, 401. Prime factorization of 92230 in exponential form is:

92230 = 21 × 51 × 231 × 4011

Prime Factorization of 92238

Prime factors of 92238 are 2, 3, 15373. Prime factorization of 92238 in exponential form is:

92238 = 21 × 31 × 153731

Now multiplying the highest exponent prime factors to calculate the LCM of 92230 and 92238.

LCM(92230,92238) = 21 × 51 × 231 × 4011 × 31 × 153731
LCM(92230,92238) = 4253555370