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What is the Least Common Multiple of 13130 and 13137?

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 13130 and 13137 is 172488810.

LCM(13130,13137) = 172488810

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Least Common Multiple of 13130 and 13137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13130 and 13137, than apply into the LCM equation.

GCF(13130,13137) = 1
LCM(13130,13137) = ( 13130 × 13137) / 1
LCM(13130,13137) = 172488810 / 1
LCM(13130,13137) = 172488810

Least Common Multiple (LCM) of 13130 and 13137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13130 and 13137. First we will calculate the prime factors of 13130 and 13137.

Prime Factorization of 13130

Prime factors of 13130 are 2, 5, 13, 101. Prime factorization of 13130 in exponential form is:

13130 = 21 × 51 × 131 × 1011

Prime Factorization of 13137

Prime factors of 13137 are 3, 29, 151. Prime factorization of 13137 in exponential form is:

13137 = 31 × 291 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 13130 and 13137.

LCM(13130,13137) = 21 × 51 × 131 × 1011 × 31 × 291 × 1511
LCM(13130,13137) = 172488810