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What is the Least Common Multiple of 15270 and 15289?

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 15270 and 15289 is 233463030.

LCM(15270,15289) = 233463030

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Least Common Multiple of 15270 and 15289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15270 and 15289, than apply into the LCM equation.

GCF(15270,15289) = 1
LCM(15270,15289) = ( 15270 × 15289) / 1
LCM(15270,15289) = 233463030 / 1
LCM(15270,15289) = 233463030

Least Common Multiple (LCM) of 15270 and 15289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15270 and 15289. First we will calculate the prime factors of 15270 and 15289.

Prime Factorization of 15270

Prime factors of 15270 are 2, 3, 5, 509. Prime factorization of 15270 in exponential form is:

15270 = 21 × 31 × 51 × 5091

Prime Factorization of 15289

Prime factors of 15289 are 15289. Prime factorization of 15289 in exponential form is:

15289 = 152891

Now multiplying the highest exponent prime factors to calculate the LCM of 15270 and 15289.

LCM(15270,15289) = 21 × 31 × 51 × 5091 × 152891
LCM(15270,15289) = 233463030