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What is the Least Common Multiple of 29918 and 29938?

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 29918 and 29938 is 447842542.

LCM(29918,29938) = 447842542

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Least Common Multiple of 29918 and 29938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29918 and 29938, than apply into the LCM equation.

GCF(29918,29938) = 2
LCM(29918,29938) = ( 29918 × 29938) / 2
LCM(29918,29938) = 895685084 / 2
LCM(29918,29938) = 447842542

Least Common Multiple (LCM) of 29918 and 29938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29918 and 29938. First we will calculate the prime factors of 29918 and 29938.

Prime Factorization of 29918

Prime factors of 29918 are 2, 7, 2137. Prime factorization of 29918 in exponential form is:

29918 = 21 × 71 × 21371

Prime Factorization of 29938

Prime factors of 29938 are 2, 14969. Prime factorization of 29938 in exponential form is:

29938 = 21 × 149691

Now multiplying the highest exponent prime factors to calculate the LCM of 29918 and 29938.

LCM(29918,29938) = 21 × 71 × 21371 × 149691
LCM(29918,29938) = 447842542