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What is the Least Common Multiple of 76477 and 76497?

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 76477 and 76497 is 5850261069.

LCM(76477,76497) = 5850261069

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Least Common Multiple of 76477 and 76497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76477 and 76497, than apply into the LCM equation.

GCF(76477,76497) = 1
LCM(76477,76497) = ( 76477 × 76497) / 1
LCM(76477,76497) = 5850261069 / 1
LCM(76477,76497) = 5850261069

Least Common Multiple (LCM) of 76477 and 76497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76477 and 76497. First we will calculate the prime factors of 76477 and 76497.

Prime Factorization of 76477

Prime factors of 76477 are 31, 2467. Prime factorization of 76477 in exponential form is:

76477 = 311 × 24671

Prime Factorization of 76497

Prime factors of 76497 are 3, 43, 593. Prime factorization of 76497 in exponential form is:

76497 = 31 × 431 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 76477 and 76497.

LCM(76477,76497) = 311 × 24671 × 31 × 431 × 5931
LCM(76477,76497) = 5850261069