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What is the Least Common Multiple of 68817 and 68822?

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 68817 and 68822 is 4736123574.

LCM(68817,68822) = 4736123574

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Least Common Multiple of 68817 and 68822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68817 and 68822, than apply into the LCM equation.

GCF(68817,68822) = 1
LCM(68817,68822) = ( 68817 × 68822) / 1
LCM(68817,68822) = 4736123574 / 1
LCM(68817,68822) = 4736123574

Least Common Multiple (LCM) of 68817 and 68822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68817 and 68822. First we will calculate the prime factors of 68817 and 68822.

Prime Factorization of 68817

Prime factors of 68817 are 3, 7, 29, 113. Prime factorization of 68817 in exponential form is:

68817 = 31 × 71 × 291 × 1131

Prime Factorization of 68822

Prime factors of 68822 are 2, 13, 2647. Prime factorization of 68822 in exponential form is:

68822 = 21 × 131 × 26471

Now multiplying the highest exponent prime factors to calculate the LCM of 68817 and 68822.

LCM(68817,68822) = 31 × 71 × 291 × 1131 × 21 × 131 × 26471
LCM(68817,68822) = 4736123574