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What is the Least Common Multiple of 29938 and 29955?

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 29938 and 29955 is 896792790.

LCM(29938,29955) = 896792790

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Least Common Multiple of 29938 and 29955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29938 and 29955, than apply into the LCM equation.

GCF(29938,29955) = 1
LCM(29938,29955) = ( 29938 × 29955) / 1
LCM(29938,29955) = 896792790 / 1
LCM(29938,29955) = 896792790

Least Common Multiple (LCM) of 29938 and 29955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29938 and 29955. First we will calculate the prime factors of 29938 and 29955.

Prime Factorization of 29938

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

29938 = 21 × 149691

Prime Factorization of 29955

Prime factors of 29955 are 3, 5, 1997. Prime factorization of 29955 in exponential form is:

29955 = 31 × 51 × 19971

Now multiplying the highest exponent prime factors to calculate the LCM of 29938 and 29955.

LCM(29938,29955) = 21 × 149691 × 31 × 51 × 19971
LCM(29938,29955) = 896792790