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What is the Least Common Multiple of 13053 and 13070?

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 13053 and 13070 is 170602710.

LCM(13053,13070) = 170602710

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Least Common Multiple of 13053 and 13070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13053 and 13070, than apply into the LCM equation.

GCF(13053,13070) = 1
LCM(13053,13070) = ( 13053 × 13070) / 1
LCM(13053,13070) = 170602710 / 1
LCM(13053,13070) = 170602710

Least Common Multiple (LCM) of 13053 and 13070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13053 and 13070. First we will calculate the prime factors of 13053 and 13070.

Prime Factorization of 13053

Prime factors of 13053 are 3, 19, 229. Prime factorization of 13053 in exponential form is:

13053 = 31 × 191 × 2291

Prime Factorization of 13070

Prime factors of 13070 are 2, 5, 1307. Prime factorization of 13070 in exponential form is:

13070 = 21 × 51 × 13071

Now multiplying the highest exponent prime factors to calculate the LCM of 13053 and 13070.

LCM(13053,13070) = 31 × 191 × 2291 × 21 × 51 × 13071
LCM(13053,13070) = 170602710