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What is the Least Common Multiple of 2901 and 2910?

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 2901 and 2910 is 2813970.

LCM(2901,2910) = 2813970

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Least Common Multiple of 2901 and 2910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2901 and 2910, than apply into the LCM equation.

GCF(2901,2910) = 3
LCM(2901,2910) = ( 2901 × 2910) / 3
LCM(2901,2910) = 8441910 / 3
LCM(2901,2910) = 2813970

Least Common Multiple (LCM) of 2901 and 2910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2901 and 2910. First we will calculate the prime factors of 2901 and 2910.

Prime Factorization of 2901

Prime factors of 2901 are 3, 967. Prime factorization of 2901 in exponential form is:

2901 = 31 × 9671

Prime Factorization of 2910

Prime factors of 2910 are 2, 3, 5, 97. Prime factorization of 2910 in exponential form is:

2910 = 21 × 31 × 51 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 2901 and 2910.

LCM(2901,2910) = 31 × 9671 × 21 × 51 × 971
LCM(2901,2910) = 2813970