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What is the Least Common Multiple of 66577 and 66582?

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 66577 and 66582 is 4432829814.

LCM(66577,66582) = 4432829814

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Least Common Multiple of 66577 and 66582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66577 and 66582, than apply into the LCM equation.

GCF(66577,66582) = 1
LCM(66577,66582) = ( 66577 × 66582) / 1
LCM(66577,66582) = 4432829814 / 1
LCM(66577,66582) = 4432829814

Least Common Multiple (LCM) of 66577 and 66582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66577 and 66582. First we will calculate the prime factors of 66577 and 66582.

Prime Factorization of 66577

Prime factors of 66577 are 7, 9511. Prime factorization of 66577 in exponential form is:

66577 = 71 × 95111

Prime Factorization of 66582

Prime factors of 66582 are 2, 3, 137. Prime factorization of 66582 in exponential form is:

66582 = 21 × 35 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 66577 and 66582.

LCM(66577,66582) = 71 × 95111 × 21 × 35 × 1371
LCM(66577,66582) = 4432829814