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What is the Least Common Multiple of 26870 and 26889?

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 26870 and 26889 is 722507430.

LCM(26870,26889) = 722507430

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Least Common Multiple of 26870 and 26889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26870 and 26889, than apply into the LCM equation.

GCF(26870,26889) = 1
LCM(26870,26889) = ( 26870 × 26889) / 1
LCM(26870,26889) = 722507430 / 1
LCM(26870,26889) = 722507430

Least Common Multiple (LCM) of 26870 and 26889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26870 and 26889. First we will calculate the prime factors of 26870 and 26889.

Prime Factorization of 26870

Prime factors of 26870 are 2, 5, 2687. Prime factorization of 26870 in exponential form is:

26870 = 21 × 51 × 26871

Prime Factorization of 26889

Prime factors of 26889 are 3, 8963. Prime factorization of 26889 in exponential form is:

26889 = 31 × 89631

Now multiplying the highest exponent prime factors to calculate the LCM of 26870 and 26889.

LCM(26870,26889) = 21 × 51 × 26871 × 31 × 89631
LCM(26870,26889) = 722507430