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What is the Least Common Multiple of 78818 and 78833?

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 78818 and 78833 is 6213459394.

LCM(78818,78833) = 6213459394

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Least Common Multiple of 78818 and 78833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78818 and 78833, than apply into the LCM equation.

GCF(78818,78833) = 1
LCM(78818,78833) = ( 78818 × 78833) / 1
LCM(78818,78833) = 6213459394 / 1
LCM(78818,78833) = 6213459394

Least Common Multiple (LCM) of 78818 and 78833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78818 and 78833. First we will calculate the prime factors of 78818 and 78833.

Prime Factorization of 78818

Prime factors of 78818 are 2, 39409. Prime factorization of 78818 in exponential form is:

78818 = 21 × 394091

Prime Factorization of 78833

Prime factors of 78833 are 31, 2543. Prime factorization of 78833 in exponential form is:

78833 = 311 × 25431

Now multiplying the highest exponent prime factors to calculate the LCM of 78818 and 78833.

LCM(78818,78833) = 21 × 394091 × 311 × 25431
LCM(78818,78833) = 6213459394