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What is the Least Common Multiple of 67697 and 67708?

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 67697 and 67708 is 4583628476.

LCM(67697,67708) = 4583628476

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Least Common Multiple of 67697 and 67708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67697 and 67708, than apply into the LCM equation.

GCF(67697,67708) = 1
LCM(67697,67708) = ( 67697 × 67708) / 1
LCM(67697,67708) = 4583628476 / 1
LCM(67697,67708) = 4583628476

Least Common Multiple (LCM) of 67697 and 67708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67697 and 67708. First we will calculate the prime factors of 67697 and 67708.

Prime Factorization of 67697

Prime factors of 67697 are 7, 19, 509. Prime factorization of 67697 in exponential form is:

67697 = 71 × 191 × 5091

Prime Factorization of 67708

Prime factors of 67708 are 2, 16927. Prime factorization of 67708 in exponential form is:

67708 = 22 × 169271

Now multiplying the highest exponent prime factors to calculate the LCM of 67697 and 67708.

LCM(67697,67708) = 71 × 191 × 5091 × 22 × 169271
LCM(67697,67708) = 4583628476