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What is the Least Common Multiple of 15670 and 15689?

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 15670 and 15689 is 245846630.

LCM(15670,15689) = 245846630

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Least Common Multiple of 15670 and 15689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15670 and 15689, than apply into the LCM equation.

GCF(15670,15689) = 1
LCM(15670,15689) = ( 15670 × 15689) / 1
LCM(15670,15689) = 245846630 / 1
LCM(15670,15689) = 245846630

Least Common Multiple (LCM) of 15670 and 15689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15670 and 15689. First we will calculate the prime factors of 15670 and 15689.

Prime Factorization of 15670

Prime factors of 15670 are 2, 5, 1567. Prime factorization of 15670 in exponential form is:

15670 = 21 × 51 × 15671

Prime Factorization of 15689

Prime factors of 15689 are 29, 541. Prime factorization of 15689 in exponential form is:

15689 = 291 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 15670 and 15689.

LCM(15670,15689) = 21 × 51 × 15671 × 291 × 5411
LCM(15670,15689) = 245846630