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What is the Least Common Multiple of 77277 and 77283?

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 77277 and 77283 is 1990732797.

LCM(77277,77283) = 1990732797

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Least Common Multiple of 77277 and 77283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77277 and 77283, than apply into the LCM equation.

GCF(77277,77283) = 3
LCM(77277,77283) = ( 77277 × 77283) / 3
LCM(77277,77283) = 5972198391 / 3
LCM(77277,77283) = 1990732797

Least Common Multiple (LCM) of 77277 and 77283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77277 and 77283. First we will calculate the prime factors of 77277 and 77283.

Prime Factorization of 77277

Prime factors of 77277 are 3, 25759. Prime factorization of 77277 in exponential form is:

77277 = 31 × 257591

Prime Factorization of 77283

Prime factors of 77283 are 3, 31, 277. Prime factorization of 77283 in exponential form is:

77283 = 32 × 311 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 77277 and 77283.

LCM(77277,77283) = 32 × 257591 × 311 × 2771
LCM(77277,77283) = 1990732797