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What is the Least Common Multiple of 29821 and 29838?

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 29838 is 889798998.

LCM(29821,29838) = 889798998

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Least Common Multiple of 29821 and 29838 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 29838, than apply into the LCM equation.

GCF(29821,29838) = 1
LCM(29821,29838) = ( 29821 × 29838) / 1
LCM(29821,29838) = 889798998 / 1
LCM(29821,29838) = 889798998

Least Common Multiple (LCM) of 29821 and 29838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29821 and 29838. First we will calculate the prime factors of 29821 and 29838.

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 29838

Prime factors of 29838 are 2, 3, 4973. Prime factorization of 29838 in exponential form is:

29838 = 21 × 31 × 49731

Now multiplying the highest exponent prime factors to calculate the LCM of 29821 and 29838.

LCM(29821,29838) = 111 × 27111 × 21 × 31 × 49731
LCM(29821,29838) = 889798998