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What is the Least Common Multiple of 68068 and 68082?

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 68068 and 68082 is 331014684.

LCM(68068,68082) = 331014684

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Least Common Multiple of 68068 and 68082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68068 and 68082, than apply into the LCM equation.

GCF(68068,68082) = 14
LCM(68068,68082) = ( 68068 × 68082) / 14
LCM(68068,68082) = 4634205576 / 14
LCM(68068,68082) = 331014684

Least Common Multiple (LCM) of 68068 and 68082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68068 and 68082. First we will calculate the prime factors of 68068 and 68082.

Prime Factorization of 68068

Prime factors of 68068 are 2, 7, 11, 13, 17. Prime factorization of 68068 in exponential form is:

68068 = 22 × 71 × 111 × 131 × 171

Prime Factorization of 68082

Prime factors of 68082 are 2, 3, 7, 1621. Prime factorization of 68082 in exponential form is:

68082 = 21 × 31 × 71 × 16211

Now multiplying the highest exponent prime factors to calculate the LCM of 68068 and 68082.

LCM(68068,68082) = 22 × 71 × 111 × 131 × 171 × 31 × 16211
LCM(68068,68082) = 331014684