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What is the Least Common Multiple of 29995 and 30010?

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 29995 and 30010 is 180029990.

LCM(29995,30010) = 180029990

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Least Common Multiple of 29995 and 30010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29995 and 30010, than apply into the LCM equation.

GCF(29995,30010) = 5
LCM(29995,30010) = ( 29995 × 30010) / 5
LCM(29995,30010) = 900149950 / 5
LCM(29995,30010) = 180029990

Least Common Multiple (LCM) of 29995 and 30010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29995 and 30010. First we will calculate the prime factors of 29995 and 30010.

Prime Factorization of 29995

Prime factors of 29995 are 5, 7, 857. Prime factorization of 29995 in exponential form is:

29995 = 51 × 71 × 8571

Prime Factorization of 30010

Prime factors of 30010 are 2, 5, 3001. Prime factorization of 30010 in exponential form is:

30010 = 21 × 51 × 30011

Now multiplying the highest exponent prime factors to calculate the LCM of 29995 and 30010.

LCM(29995,30010) = 51 × 71 × 8571 × 21 × 30011
LCM(29995,30010) = 180029990