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What is the Least Common Multiple of 10870 and 10890?

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 10870 and 10890 is 11837430.

LCM(10870,10890) = 11837430

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Least Common Multiple of 10870 and 10890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10870 and 10890, than apply into the LCM equation.

GCF(10870,10890) = 10
LCM(10870,10890) = ( 10870 × 10890) / 10
LCM(10870,10890) = 118374300 / 10
LCM(10870,10890) = 11837430

Least Common Multiple (LCM) of 10870 and 10890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10870 and 10890. First we will calculate the prime factors of 10870 and 10890.

Prime Factorization of 10870

Prime factors of 10870 are 2, 5, 1087. Prime factorization of 10870 in exponential form is:

10870 = 21 × 51 × 10871

Prime Factorization of 10890

Prime factors of 10890 are 2, 3, 5, 11. Prime factorization of 10890 in exponential form is:

10890 = 21 × 32 × 51 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 10870 and 10890.

LCM(10870,10890) = 21 × 51 × 10871 × 32 × 112
LCM(10870,10890) = 11837430