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What is the Least Common Multiple of 29926 and 29940?

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 29926 and 29940 is 447992220.

LCM(29926,29940) = 447992220

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Least Common Multiple of 29926 and 29940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29926 and 29940, than apply into the LCM equation.

GCF(29926,29940) = 2
LCM(29926,29940) = ( 29926 × 29940) / 2
LCM(29926,29940) = 895984440 / 2
LCM(29926,29940) = 447992220

Least Common Multiple (LCM) of 29926 and 29940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29926 and 29940. First we will calculate the prime factors of 29926 and 29940.

Prime Factorization of 29926

Prime factors of 29926 are 2, 13, 1151. Prime factorization of 29926 in exponential form is:

29926 = 21 × 131 × 11511

Prime Factorization of 29940

Prime factors of 29940 are 2, 3, 5, 499. Prime factorization of 29940 in exponential form is:

29940 = 22 × 31 × 51 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 29926 and 29940.

LCM(29926,29940) = 22 × 131 × 11511 × 31 × 51 × 4991
LCM(29926,29940) = 447992220