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What is the Least Common Multiple of 29642 and 29653?

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 29642 and 29653 is 878974226.

LCM(29642,29653) = 878974226

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Least Common Multiple of 29642 and 29653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29642 and 29653, than apply into the LCM equation.

GCF(29642,29653) = 1
LCM(29642,29653) = ( 29642 × 29653) / 1
LCM(29642,29653) = 878974226 / 1
LCM(29642,29653) = 878974226

Least Common Multiple (LCM) of 29642 and 29653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29642 and 29653. First we will calculate the prime factors of 29642 and 29653.

Prime Factorization of 29642

Prime factors of 29642 are 2, 14821. Prime factorization of 29642 in exponential form is:

29642 = 21 × 148211

Prime Factorization of 29653

Prime factors of 29653 are 13, 2281. Prime factorization of 29653 in exponential form is:

29653 = 131 × 22811

Now multiplying the highest exponent prime factors to calculate the LCM of 29642 and 29653.

LCM(29642,29653) = 21 × 148211 × 131 × 22811
LCM(29642,29653) = 878974226