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What is the Least Common Multiple of 29795 and 29805?

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 29795 and 29805 is 177607995.

LCM(29795,29805) = 177607995

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Least Common Multiple of 29795 and 29805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29795 and 29805, than apply into the LCM equation.

GCF(29795,29805) = 5
LCM(29795,29805) = ( 29795 × 29805) / 5
LCM(29795,29805) = 888039975 / 5
LCM(29795,29805) = 177607995

Least Common Multiple (LCM) of 29795 and 29805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29795 and 29805. First we will calculate the prime factors of 29795 and 29805.

Prime Factorization of 29795

Prime factors of 29795 are 5, 59, 101. Prime factorization of 29795 in exponential form is:

29795 = 51 × 591 × 1011

Prime Factorization of 29805

Prime factors of 29805 are 3, 5, 1987. Prime factorization of 29805 in exponential form is:

29805 = 31 × 51 × 19871

Now multiplying the highest exponent prime factors to calculate the LCM of 29795 and 29805.

LCM(29795,29805) = 51 × 591 × 1011 × 31 × 19871
LCM(29795,29805) = 177607995