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What is the Least Common Multiple of 67702 and 67716?

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 67702 and 67716 is 2292254316.

LCM(67702,67716) = 2292254316

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Least Common Multiple of 67702 and 67716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67702 and 67716, than apply into the LCM equation.

GCF(67702,67716) = 2
LCM(67702,67716) = ( 67702 × 67716) / 2
LCM(67702,67716) = 4584508632 / 2
LCM(67702,67716) = 2292254316

Least Common Multiple (LCM) of 67702 and 67716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67702 and 67716. First we will calculate the prime factors of 67702 and 67716.

Prime Factorization of 67702

Prime factors of 67702 are 2, 33851. Prime factorization of 67702 in exponential form is:

67702 = 21 × 338511

Prime Factorization of 67716

Prime factors of 67716 are 2, 3, 11, 19. Prime factorization of 67716 in exponential form is:

67716 = 22 × 34 × 111 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 67702 and 67716.

LCM(67702,67716) = 22 × 338511 × 34 × 111 × 191
LCM(67702,67716) = 2292254316