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What is the Least Common Multiple of 66757 and 66767?

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 66757 and 66767 is 4457164619.

LCM(66757,66767) = 4457164619

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Least Common Multiple of 66757 and 66767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66757 and 66767, than apply into the LCM equation.

GCF(66757,66767) = 1
LCM(66757,66767) = ( 66757 × 66767) / 1
LCM(66757,66767) = 4457164619 / 1
LCM(66757,66767) = 4457164619

Least Common Multiple (LCM) of 66757 and 66767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66757 and 66767. First we will calculate the prime factors of 66757 and 66767.

Prime Factorization of 66757

Prime factors of 66757 are 241, 277. Prime factorization of 66757 in exponential form is:

66757 = 2411 × 2771

Prime Factorization of 66767

Prime factors of 66767 are 179, 373. Prime factorization of 66767 in exponential form is:

66767 = 1791 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 66757 and 66767.

LCM(66757,66767) = 2411 × 2771 × 1791 × 3731
LCM(66757,66767) = 4457164619