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What is the Least Common Multiple of 92255 and 92272?

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 92255 and 92272 is 8512553360.

LCM(92255,92272) = 8512553360

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Least Common Multiple of 92255 and 92272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92255 and 92272, than apply into the LCM equation.

GCF(92255,92272) = 1
LCM(92255,92272) = ( 92255 × 92272) / 1
LCM(92255,92272) = 8512553360 / 1
LCM(92255,92272) = 8512553360

Least Common Multiple (LCM) of 92255 and 92272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92255 and 92272. First we will calculate the prime factors of 92255 and 92272.

Prime Factorization of 92255

Prime factors of 92255 are 5, 18451. Prime factorization of 92255 in exponential form is:

92255 = 51 × 184511

Prime Factorization of 92272

Prime factors of 92272 are 2, 73, 79. Prime factorization of 92272 in exponential form is:

92272 = 24 × 731 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 92255 and 92272.

LCM(92255,92272) = 51 × 184511 × 24 × 731 × 791
LCM(92255,92272) = 8512553360