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What is the Least Common Multiple of 67342 and 67356?

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 67342 and 67356 is 2267943876.

LCM(67342,67356) = 2267943876

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Least Common Multiple of 67342 and 67356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67342 and 67356, than apply into the LCM equation.

GCF(67342,67356) = 2
LCM(67342,67356) = ( 67342 × 67356) / 2
LCM(67342,67356) = 4535887752 / 2
LCM(67342,67356) = 2267943876

Least Common Multiple (LCM) of 67342 and 67356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67342 and 67356. First we will calculate the prime factors of 67342 and 67356.

Prime Factorization of 67342

Prime factors of 67342 are 2, 11, 3061. Prime factorization of 67342 in exponential form is:

67342 = 21 × 111 × 30611

Prime Factorization of 67356

Prime factors of 67356 are 2, 3, 1871. Prime factorization of 67356 in exponential form is:

67356 = 22 × 32 × 18711

Now multiplying the highest exponent prime factors to calculate the LCM of 67342 and 67356.

LCM(67342,67356) = 22 × 111 × 30611 × 32 × 18711
LCM(67342,67356) = 2267943876