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What is the Least Common Multiple of 11902 and 11910?

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 11902 and 11910 is 70876410.

LCM(11902,11910) = 70876410

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Least Common Multiple of 11902 and 11910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11902 and 11910, than apply into the LCM equation.

GCF(11902,11910) = 2
LCM(11902,11910) = ( 11902 × 11910) / 2
LCM(11902,11910) = 141752820 / 2
LCM(11902,11910) = 70876410

Least Common Multiple (LCM) of 11902 and 11910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11902 and 11910. First we will calculate the prime factors of 11902 and 11910.

Prime Factorization of 11902

Prime factors of 11902 are 2, 11, 541. Prime factorization of 11902 in exponential form is:

11902 = 21 × 111 × 5411

Prime Factorization of 11910

Prime factors of 11910 are 2, 3, 5, 397. Prime factorization of 11910 in exponential form is:

11910 = 21 × 31 × 51 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 11902 and 11910.

LCM(11902,11910) = 21 × 111 × 5411 × 31 × 51 × 3971
LCM(11902,11910) = 70876410