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What is the Least Common Multiple of 29821 and 29828?

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 29821 and 29828 is 889500788.

LCM(29821,29828) = 889500788

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Least Common Multiple of 29821 and 29828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29821 and 29828, than apply into the LCM equation.

GCF(29821,29828) = 1
LCM(29821,29828) = ( 29821 × 29828) / 1
LCM(29821,29828) = 889500788 / 1
LCM(29821,29828) = 889500788

Least Common Multiple (LCM) of 29821 and 29828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29821 and 29828. First we will calculate the prime factors of 29821 and 29828.

Prime Factorization of 29821

Prime factors of 29821 are 11, 2711. Prime factorization of 29821 in exponential form is:

29821 = 111 × 27111

Prime Factorization of 29828

Prime factors of 29828 are 2, 7457. Prime factorization of 29828 in exponential form is:

29828 = 22 × 74571

Now multiplying the highest exponent prime factors to calculate the LCM of 29821 and 29828.

LCM(29821,29828) = 111 × 27111 × 22 × 74571
LCM(29821,29828) = 889500788