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What is the Least Common Multiple of 29901 and 29910?

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 29901 and 29910 is 298112970.

LCM(29901,29910) = 298112970

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Least Common Multiple of 29901 and 29910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29901 and 29910, than apply into the LCM equation.

GCF(29901,29910) = 3
LCM(29901,29910) = ( 29901 × 29910) / 3
LCM(29901,29910) = 894338910 / 3
LCM(29901,29910) = 298112970

Least Common Multiple (LCM) of 29901 and 29910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29901 and 29910. First we will calculate the prime factors of 29901 and 29910.

Prime Factorization of 29901

Prime factors of 29901 are 3, 9967. Prime factorization of 29901 in exponential form is:

29901 = 31 × 99671

Prime Factorization of 29910

Prime factors of 29910 are 2, 3, 5, 997. Prime factorization of 29910 in exponential form is:

29910 = 21 × 31 × 51 × 9971

Now multiplying the highest exponent prime factors to calculate the LCM of 29901 and 29910.

LCM(29901,29910) = 31 × 99671 × 21 × 51 × 9971
LCM(29901,29910) = 298112970