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What is the Least Common Multiple of 92278 and 92288?

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 92278 and 92288 is 4258076032.

LCM(92278,92288) = 4258076032

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Least Common Multiple of 92278 and 92288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92278 and 92288, than apply into the LCM equation.

GCF(92278,92288) = 2
LCM(92278,92288) = ( 92278 × 92288) / 2
LCM(92278,92288) = 8516152064 / 2
LCM(92278,92288) = 4258076032

Least Common Multiple (LCM) of 92278 and 92288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92278 and 92288. First we will calculate the prime factors of 92278 and 92288.

Prime Factorization of 92278

Prime factors of 92278 are 2, 29, 37, 43. Prime factorization of 92278 in exponential form is:

92278 = 21 × 291 × 371 × 431

Prime Factorization of 92288

Prime factors of 92288 are 2, 7, 103. Prime factorization of 92288 in exponential form is:

92288 = 27 × 71 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 92278 and 92288.

LCM(92278,92288) = 27 × 291 × 371 × 431 × 71 × 1031
LCM(92278,92288) = 4258076032