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What is the Least Common Multiple of 29811 and 29821?

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 29811 and 29821 is 888993831.

LCM(29811,29821) = 888993831

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Least Common Multiple of 29811 and 29821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29811 and 29821, than apply into the LCM equation.

GCF(29811,29821) = 1
LCM(29811,29821) = ( 29811 × 29821) / 1
LCM(29811,29821) = 888993831 / 1
LCM(29811,29821) = 888993831

Least Common Multiple (LCM) of 29811 and 29821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29811 and 29821. First we will calculate the prime factors of 29811 and 29821.

Prime Factorization of 29811

Prime factors of 29811 are 3, 19, 523. Prime factorization of 29811 in exponential form is:

29811 = 31 × 191 × 5231

Prime Factorization of 29821

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

29821 = 111 × 27111

Now multiplying the highest exponent prime factors to calculate the LCM of 29811 and 29821.

LCM(29811,29821) = 31 × 191 × 5231 × 111 × 27111
LCM(29811,29821) = 888993831