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What is the Least Common Multiple of 15685 and 15703?

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 15685 and 15703 is 246301555.

LCM(15685,15703) = 246301555

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Least Common Multiple of 15685 and 15703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15685 and 15703, than apply into the LCM equation.

GCF(15685,15703) = 1
LCM(15685,15703) = ( 15685 × 15703) / 1
LCM(15685,15703) = 246301555 / 1
LCM(15685,15703) = 246301555

Least Common Multiple (LCM) of 15685 and 15703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15685 and 15703. First we will calculate the prime factors of 15685 and 15703.

Prime Factorization of 15685

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

15685 = 51 × 31371

Prime Factorization of 15703

Prime factors of 15703 are 41, 383. Prime factorization of 15703 in exponential form is:

15703 = 411 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 15685 and 15703.

LCM(15685,15703) = 51 × 31371 × 411 × 3831
LCM(15685,15703) = 246301555