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What is the Least Common Multiple of 78922 and 78929?

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 78922 and 78929 is 6229234538.

LCM(78922,78929) = 6229234538

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Least Common Multiple of 78922 and 78929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78922 and 78929, than apply into the LCM equation.

GCF(78922,78929) = 1
LCM(78922,78929) = ( 78922 × 78929) / 1
LCM(78922,78929) = 6229234538 / 1
LCM(78922,78929) = 6229234538

Least Common Multiple (LCM) of 78922 and 78929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78922 and 78929. First we will calculate the prime factors of 78922 and 78929.

Prime Factorization of 78922

Prime factors of 78922 are 2, 39461. Prime factorization of 78922 in exponential form is:

78922 = 21 × 394611

Prime Factorization of 78929

Prime factors of 78929 are 78929. Prime factorization of 78929 in exponential form is:

78929 = 789291

Now multiplying the highest exponent prime factors to calculate the LCM of 78922 and 78929.

LCM(78922,78929) = 21 × 394611 × 789291
LCM(78922,78929) = 6229234538