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What is the Least Common Multiple of 85277 and 85287?

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 85287 is 7273019499.

LCM(85277,85287) = 7273019499

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Least Common Multiple of 85277 and 85287 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 85287, than apply into the LCM equation.

GCF(85277,85287) = 1
LCM(85277,85287) = ( 85277 × 85287) / 1
LCM(85277,85287) = 7273019499 / 1
LCM(85277,85287) = 7273019499

Least Common Multiple (LCM) of 85277 and 85287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85277 and 85287. First we will calculate the prime factors of 85277 and 85287.

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 85287

Prime factors of 85287 are 3, 28429. Prime factorization of 85287 in exponential form is:

85287 = 31 × 284291

Now multiplying the highest exponent prime factors to calculate the LCM of 85277 and 85287.

LCM(85277,85287) = 531 × 16091 × 31 × 284291
LCM(85277,85287) = 7273019499