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What is the Least Common Multiple of 13046 and 13065?

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 13046 and 13065 is 170445990.

LCM(13046,13065) = 170445990

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Least Common Multiple of 13046 and 13065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13046 and 13065, than apply into the LCM equation.

GCF(13046,13065) = 1
LCM(13046,13065) = ( 13046 × 13065) / 1
LCM(13046,13065) = 170445990 / 1
LCM(13046,13065) = 170445990

Least Common Multiple (LCM) of 13046 and 13065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13046 and 13065. First we will calculate the prime factors of 13046 and 13065.

Prime Factorization of 13046

Prime factors of 13046 are 2, 11, 593. Prime factorization of 13046 in exponential form is:

13046 = 21 × 111 × 5931

Prime Factorization of 13065

Prime factors of 13065 are 3, 5, 13, 67. Prime factorization of 13065 in exponential form is:

13065 = 31 × 51 × 131 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 13046 and 13065.

LCM(13046,13065) = 21 × 111 × 5931 × 31 × 51 × 131 × 671
LCM(13046,13065) = 170445990