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What is the Least Common Multiple of 68814 and 68827?

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 68814 and 68827 is 4736261178.

LCM(68814,68827) = 4736261178

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Least Common Multiple of 68814 and 68827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68814 and 68827, than apply into the LCM equation.

GCF(68814,68827) = 1
LCM(68814,68827) = ( 68814 × 68827) / 1
LCM(68814,68827) = 4736261178 / 1
LCM(68814,68827) = 4736261178

Least Common Multiple (LCM) of 68814 and 68827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68814 and 68827. First we will calculate the prime factors of 68814 and 68827.

Prime Factorization of 68814

Prime factors of 68814 are 2, 3, 3823. Prime factorization of 68814 in exponential form is:

68814 = 21 × 32 × 38231

Prime Factorization of 68827

Prime factors of 68827 are 11, 6257. Prime factorization of 68827 in exponential form is:

68827 = 111 × 62571

Now multiplying the highest exponent prime factors to calculate the LCM of 68814 and 68827.

LCM(68814,68827) = 21 × 32 × 38231 × 111 × 62571
LCM(68814,68827) = 4736261178