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What is the Least Common Multiple of 68302 and 68306?

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 68302 and 68306 is 2332718206.

LCM(68302,68306) = 2332718206

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Least Common Multiple of 68302 and 68306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68302 and 68306, than apply into the LCM equation.

GCF(68302,68306) = 2
LCM(68302,68306) = ( 68302 × 68306) / 2
LCM(68302,68306) = 4665436412 / 2
LCM(68302,68306) = 2332718206

Least Common Multiple (LCM) of 68302 and 68306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68302 and 68306. First we will calculate the prime factors of 68302 and 68306.

Prime Factorization of 68302

Prime factors of 68302 are 2, 13, 37, 71. Prime factorization of 68302 in exponential form is:

68302 = 21 × 131 × 371 × 711

Prime Factorization of 68306

Prime factors of 68306 are 2, 7, 17, 41. Prime factorization of 68306 in exponential form is:

68306 = 21 × 72 × 171 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 68302 and 68306.

LCM(68302,68306) = 21 × 131 × 371 × 711 × 72 × 171 × 411
LCM(68302,68306) = 2332718206