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What is the Least Common Multiple of 67501 and 67519?

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 67501 and 67519 is 4557600019.

LCM(67501,67519) = 4557600019

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Least Common Multiple of 67501 and 67519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67501 and 67519, than apply into the LCM equation.

GCF(67501,67519) = 1
LCM(67501,67519) = ( 67501 × 67519) / 1
LCM(67501,67519) = 4557600019 / 1
LCM(67501,67519) = 4557600019

Least Common Multiple (LCM) of 67501 and 67519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67501 and 67519. First we will calculate the prime factors of 67501 and 67519.

Prime Factorization of 67501

Prime factors of 67501 are 7, 9643. Prime factorization of 67501 in exponential form is:

67501 = 71 × 96431

Prime Factorization of 67519

Prime factors of 67519 are 251, 269. Prime factorization of 67519 in exponential form is:

67519 = 2511 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 67501 and 67519.

LCM(67501,67519) = 71 × 96431 × 2511 × 2691
LCM(67501,67519) = 4557600019