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What is the Least Common Multiple of 10642 and 10657?

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 10642 and 10657 is 113411794.

LCM(10642,10657) = 113411794

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Least Common Multiple of 10642 and 10657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10642 and 10657, than apply into the LCM equation.

GCF(10642,10657) = 1
LCM(10642,10657) = ( 10642 × 10657) / 1
LCM(10642,10657) = 113411794 / 1
LCM(10642,10657) = 113411794

Least Common Multiple (LCM) of 10642 and 10657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10642 and 10657. First we will calculate the prime factors of 10642 and 10657.

Prime Factorization of 10642

Prime factors of 10642 are 2, 17, 313. Prime factorization of 10642 in exponential form is:

10642 = 21 × 171 × 3131

Prime Factorization of 10657

Prime factors of 10657 are 10657. Prime factorization of 10657 in exponential form is:

10657 = 106571

Now multiplying the highest exponent prime factors to calculate the LCM of 10642 and 10657.

LCM(10642,10657) = 21 × 171 × 3131 × 106571
LCM(10642,10657) = 113411794