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What is the Least Common Multiple of 67682 and 67702?

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 67682 and 67702 is 2291103382.

LCM(67682,67702) = 2291103382

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Least Common Multiple of 67682 and 67702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67682 and 67702, than apply into the LCM equation.

GCF(67682,67702) = 2
LCM(67682,67702) = ( 67682 × 67702) / 2
LCM(67682,67702) = 4582206764 / 2
LCM(67682,67702) = 2291103382

Least Common Multiple (LCM) of 67682 and 67702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67682 and 67702. First we will calculate the prime factors of 67682 and 67702.

Prime Factorization of 67682

Prime factors of 67682 are 2, 43, 787. Prime factorization of 67682 in exponential form is:

67682 = 21 × 431 × 7871

Prime Factorization of 67702

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

67702 = 21 × 338511

Now multiplying the highest exponent prime factors to calculate the LCM of 67682 and 67702.

LCM(67682,67702) = 21 × 431 × 7871 × 338511
LCM(67682,67702) = 2291103382