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What is the Least Common Multiple of 67670 and 67686?

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 67670 and 67686 is 2290155810.

LCM(67670,67686) = 2290155810

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Least Common Multiple of 67670 and 67686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67670 and 67686, than apply into the LCM equation.

GCF(67670,67686) = 2
LCM(67670,67686) = ( 67670 × 67686) / 2
LCM(67670,67686) = 4580311620 / 2
LCM(67670,67686) = 2290155810

Least Common Multiple (LCM) of 67670 and 67686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67670 and 67686. First we will calculate the prime factors of 67670 and 67686.

Prime Factorization of 67670

Prime factors of 67670 are 2, 5, 67, 101. Prime factorization of 67670 in exponential form is:

67670 = 21 × 51 × 671 × 1011

Prime Factorization of 67686

Prime factors of 67686 are 2, 3, 29, 389. Prime factorization of 67686 in exponential form is:

67686 = 21 × 31 × 291 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 67670 and 67686.

LCM(67670,67686) = 21 × 51 × 671 × 1011 × 31 × 291 × 3891
LCM(67670,67686) = 2290155810