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What is the Least Common Multiple of 15665 and 15685?

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 15665 and 15685 is 49141105.

LCM(15665,15685) = 49141105

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Least Common Multiple of 15665 and 15685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15665 and 15685, than apply into the LCM equation.

GCF(15665,15685) = 5
LCM(15665,15685) = ( 15665 × 15685) / 5
LCM(15665,15685) = 245705525 / 5
LCM(15665,15685) = 49141105

Least Common Multiple (LCM) of 15665 and 15685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15665 and 15685. First we will calculate the prime factors of 15665 and 15685.

Prime Factorization of 15665

Prime factors of 15665 are 5, 13, 241. Prime factorization of 15665 in exponential form is:

15665 = 51 × 131 × 2411

Prime Factorization of 15685

Prime factors of 15685 are 5, 3137. Prime factorization of 15685 in exponential form is:

15685 = 51 × 31371

Now multiplying the highest exponent prime factors to calculate the LCM of 15665 and 15685.

LCM(15665,15685) = 51 × 131 × 2411 × 31371
LCM(15665,15685) = 49141105