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What is the Least Common Multiple of 10519 and 10525?

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 10519 and 10525 is 110712475.

LCM(10519,10525) = 110712475

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Least Common Multiple of 10519 and 10525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10519 and 10525, than apply into the LCM equation.

GCF(10519,10525) = 1
LCM(10519,10525) = ( 10519 × 10525) / 1
LCM(10519,10525) = 110712475 / 1
LCM(10519,10525) = 110712475

Least Common Multiple (LCM) of 10519 and 10525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10519 and 10525. First we will calculate the prime factors of 10519 and 10525.

Prime Factorization of 10519

Prime factors of 10519 are 67, 157. Prime factorization of 10519 in exponential form is:

10519 = 671 × 1571

Prime Factorization of 10525

Prime factors of 10525 are 5, 421. Prime factorization of 10525 in exponential form is:

10525 = 52 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 10519 and 10525.

LCM(10519,10525) = 671 × 1571 × 52 × 4211
LCM(10519,10525) = 110712475