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What is the Least Common Multiple of 67412 and 67430?

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 67412 and 67430 is 2272795580.

LCM(67412,67430) = 2272795580

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Least Common Multiple of 67412 and 67430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67412 and 67430, than apply into the LCM equation.

GCF(67412,67430) = 2
LCM(67412,67430) = ( 67412 × 67430) / 2
LCM(67412,67430) = 4545591160 / 2
LCM(67412,67430) = 2272795580

Least Common Multiple (LCM) of 67412 and 67430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67412 and 67430. First we will calculate the prime factors of 67412 and 67430.

Prime Factorization of 67412

Prime factors of 67412 are 2, 19, 887. Prime factorization of 67412 in exponential form is:

67412 = 22 × 191 × 8871

Prime Factorization of 67430

Prime factors of 67430 are 2, 5, 11, 613. Prime factorization of 67430 in exponential form is:

67430 = 21 × 51 × 111 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 67412 and 67430.

LCM(67412,67430) = 22 × 191 × 8871 × 51 × 111 × 6131
LCM(67412,67430) = 2272795580