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What is the Least Common Multiple of 67571 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 67571 and 67582 is 4566583322.

LCM(67571,67582) = 4566583322

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Least Common Multiple of 67571 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 67571 and 67582, than apply into the LCM equation.

GCF(67571,67582) = 1
LCM(67571,67582) = ( 67571 × 67582) / 1
LCM(67571,67582) = 4566583322 / 1
LCM(67571,67582) = 4566583322

Least Common Multiple (LCM) of 67571 and 67582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67571 and 67582. First we will calculate the prime factors of 67571 and 67582.

Prime Factorization of 67571

Prime factors of 67571 are 7, 197. Prime factorization of 67571 in exponential form is:

67571 = 73 × 1971

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 67571 and 67582.

LCM(67571,67582) = 73 × 1971 × 21 × 337911
LCM(67571,67582) = 4566583322