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What is the Least Common Multiple of 99277 and 99283?

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 99277 and 99283 is 9856518391.

LCM(99277,99283) = 9856518391

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Least Common Multiple of 99277 and 99283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99277 and 99283, than apply into the LCM equation.

GCF(99277,99283) = 1
LCM(99277,99283) = ( 99277 × 99283) / 1
LCM(99277,99283) = 9856518391 / 1
LCM(99277,99283) = 9856518391

Least Common Multiple (LCM) of 99277 and 99283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99277 and 99283. First we will calculate the prime factors of 99277 and 99283.

Prime Factorization of 99277

Prime factors of 99277 are 99277. Prime factorization of 99277 in exponential form is:

99277 = 992771

Prime Factorization of 99283

Prime factors of 99283 are 101, 983. Prime factorization of 99283 in exponential form is:

99283 = 1011 × 9831

Now multiplying the highest exponent prime factors to calculate the LCM of 99277 and 99283.

LCM(99277,99283) = 992771 × 1011 × 9831
LCM(99277,99283) = 9856518391