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What is the Least Common Multiple of 67577 and 67582?

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 67577 and 67582 is 4566988814.

LCM(67577,67582) = 4566988814

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Least Common Multiple of 67577 and 67582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67577 and 67582, than apply into the LCM equation.

GCF(67577,67582) = 1
LCM(67577,67582) = ( 67577 × 67582) / 1
LCM(67577,67582) = 4566988814 / 1
LCM(67577,67582) = 4566988814

Least Common Multiple (LCM) of 67577 and 67582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67577 and 67582. First we will calculate the prime factors of 67577 and 67582.

Prime Factorization of 67577

Prime factors of 67577 are 67577. Prime factorization of 67577 in exponential form is:

67577 = 675771

Prime Factorization of 67582

Prime factors of 67582 are 2, 33791. Prime factorization of 67582 in exponential form is:

67582 = 21 × 337911

Now multiplying the highest exponent prime factors to calculate the LCM of 67577 and 67582.

LCM(67577,67582) = 675771 × 21 × 337911
LCM(67577,67582) = 4566988814