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What is the Least Common Multiple of 67499 and 67505?

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 67499 and 67505 is 4556519995.

LCM(67499,67505) = 4556519995

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Least Common Multiple of 67499 and 67505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67499 and 67505, than apply into the LCM equation.

GCF(67499,67505) = 1
LCM(67499,67505) = ( 67499 × 67505) / 1
LCM(67499,67505) = 4556519995 / 1
LCM(67499,67505) = 4556519995

Least Common Multiple (LCM) of 67499 and 67505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67499 and 67505. First we will calculate the prime factors of 67499 and 67505.

Prime Factorization of 67499

Prime factors of 67499 are 67499. Prime factorization of 67499 in exponential form is:

67499 = 674991

Prime Factorization of 67505

Prime factors of 67505 are 5, 23, 587. Prime factorization of 67505 in exponential form is:

67505 = 51 × 231 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 67499 and 67505.

LCM(67499,67505) = 674991 × 51 × 231 × 5871
LCM(67499,67505) = 4556519995