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What is the Least Common Multiple of 85277 and 85290?

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 85277 and 85290 is 7273275330.

LCM(85277,85290) = 7273275330

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Least Common Multiple of 85277 and 85290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85277 and 85290, than apply into the LCM equation.

GCF(85277,85290) = 1
LCM(85277,85290) = ( 85277 × 85290) / 1
LCM(85277,85290) = 7273275330 / 1
LCM(85277,85290) = 7273275330

Least Common Multiple (LCM) of 85277 and 85290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85277 and 85290. First we will calculate the prime factors of 85277 and 85290.

Prime Factorization of 85277

Prime factors of 85277 are 53, 1609. Prime factorization of 85277 in exponential form is:

85277 = 531 × 16091

Prime Factorization of 85290

Prime factors of 85290 are 2, 3, 5, 2843. Prime factorization of 85290 in exponential form is:

85290 = 21 × 31 × 51 × 28431

Now multiplying the highest exponent prime factors to calculate the LCM of 85277 and 85290.

LCM(85277,85290) = 531 × 16091 × 21 × 31 × 51 × 28431
LCM(85277,85290) = 7273275330