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What is the Least Common Multiple of 11070 and 11079?

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 11070 and 11079 is 13627170.

LCM(11070,11079) = 13627170

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Least Common Multiple of 11070 and 11079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11070 and 11079, than apply into the LCM equation.

GCF(11070,11079) = 9
LCM(11070,11079) = ( 11070 × 11079) / 9
LCM(11070,11079) = 122644530 / 9
LCM(11070,11079) = 13627170

Least Common Multiple (LCM) of 11070 and 11079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11070 and 11079. First we will calculate the prime factors of 11070 and 11079.

Prime Factorization of 11070

Prime factors of 11070 are 2, 3, 5, 41. Prime factorization of 11070 in exponential form is:

11070 = 21 × 33 × 51 × 411

Prime Factorization of 11079

Prime factors of 11079 are 3, 1231. Prime factorization of 11079 in exponential form is:

11079 = 32 × 12311

Now multiplying the highest exponent prime factors to calculate the LCM of 11070 and 11079.

LCM(11070,11079) = 21 × 33 × 51 × 411 × 12311
LCM(11070,11079) = 13627170