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What is the Least Common Multiple of 92123 and 92127?

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 92123 and 92127 is 8487015621.

LCM(92123,92127) = 8487015621

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Least Common Multiple of 92123 and 92127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92123 and 92127, than apply into the LCM equation.

GCF(92123,92127) = 1
LCM(92123,92127) = ( 92123 × 92127) / 1
LCM(92123,92127) = 8487015621 / 1
LCM(92123,92127) = 8487015621

Least Common Multiple (LCM) of 92123 and 92127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92123 and 92127. First we will calculate the prime factors of 92123 and 92127.

Prime Factorization of 92123

Prime factors of 92123 are 17, 5419. Prime factorization of 92123 in exponential form is:

92123 = 171 × 54191

Prime Factorization of 92127

Prime factors of 92127 are 3, 7, 41, 107. Prime factorization of 92127 in exponential form is:

92127 = 31 × 71 × 411 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 92123 and 92127.

LCM(92123,92127) = 171 × 54191 × 31 × 71 × 411 × 1071
LCM(92123,92127) = 8487015621