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What is the Least Common Multiple of 15642 and 15658?

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 15642 and 15658 is 122461218.

LCM(15642,15658) = 122461218

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Least Common Multiple of 15642 and 15658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15642 and 15658, than apply into the LCM equation.

GCF(15642,15658) = 2
LCM(15642,15658) = ( 15642 × 15658) / 2
LCM(15642,15658) = 244922436 / 2
LCM(15642,15658) = 122461218

Least Common Multiple (LCM) of 15642 and 15658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15642 and 15658. First we will calculate the prime factors of 15642 and 15658.

Prime Factorization of 15642

Prime factors of 15642 are 2, 3, 11, 79. Prime factorization of 15642 in exponential form is:

15642 = 21 × 32 × 111 × 791

Prime Factorization of 15658

Prime factors of 15658 are 2, 7829. Prime factorization of 15658 in exponential form is:

15658 = 21 × 78291

Now multiplying the highest exponent prime factors to calculate the LCM of 15642 and 15658.

LCM(15642,15658) = 21 × 32 × 111 × 791 × 78291
LCM(15642,15658) = 122461218