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What is the Least Common Multiple of 68814 and 68821?

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 68821 is 4735848294.

LCM(68814,68821) = 4735848294

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Least Common Multiple of 68814 and 68821 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 68821, than apply into the LCM equation.

GCF(68814,68821) = 1
LCM(68814,68821) = ( 68814 × 68821) / 1
LCM(68814,68821) = 4735848294 / 1
LCM(68814,68821) = 4735848294

Least Common Multiple (LCM) of 68814 and 68821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68814 and 68821. First we will calculate the prime factors of 68814 and 68821.

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 68821

Prime factors of 68821 are 68821. Prime factorization of 68821 in exponential form is:

68821 = 688211

Now multiplying the highest exponent prime factors to calculate the LCM of 68814 and 68821.

LCM(68814,68821) = 21 × 32 × 38231 × 688211
LCM(68814,68821) = 4735848294