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What is the Least Common Multiple of 11870 and 11875?

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 11870 and 11875 is 28191250.

LCM(11870,11875) = 28191250

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Least Common Multiple of 11870 and 11875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11870 and 11875, than apply into the LCM equation.

GCF(11870,11875) = 5
LCM(11870,11875) = ( 11870 × 11875) / 5
LCM(11870,11875) = 140956250 / 5
LCM(11870,11875) = 28191250

Least Common Multiple (LCM) of 11870 and 11875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11870 and 11875. First we will calculate the prime factors of 11870 and 11875.

Prime Factorization of 11870

Prime factors of 11870 are 2, 5, 1187. Prime factorization of 11870 in exponential form is:

11870 = 21 × 51 × 11871

Prime Factorization of 11875

Prime factors of 11875 are 5, 19. Prime factorization of 11875 in exponential form is:

11875 = 54 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 11870 and 11875.

LCM(11870,11875) = 21 × 54 × 11871 × 191
LCM(11870,11875) = 28191250