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What is the Least Common Multiple of 13130 and 13135?

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 13135 is 34492510.

LCM(13130,13135) = 34492510

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Least Common Multiple of 13130 and 13135 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 13135, than apply into the LCM equation.

GCF(13130,13135) = 5
LCM(13130,13135) = ( 13130 × 13135) / 5
LCM(13130,13135) = 172462550 / 5
LCM(13130,13135) = 34492510

Least Common Multiple (LCM) of 13130 and 13135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13130 and 13135. First we will calculate the prime factors of 13130 and 13135.

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 13135

Prime factors of 13135 are 5, 37, 71. Prime factorization of 13135 in exponential form is:

13135 = 51 × 371 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 13130 and 13135.

LCM(13130,13135) = 21 × 51 × 131 × 1011 × 371 × 711
LCM(13130,13135) = 34492510