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What is the Least Common Multiple of 10657 and 10673?

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 10657 and 10673 is 113742161.

LCM(10657,10673) = 113742161

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Least Common Multiple of 10657 and 10673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10657 and 10673, than apply into the LCM equation.

GCF(10657,10673) = 1
LCM(10657,10673) = ( 10657 × 10673) / 1
LCM(10657,10673) = 113742161 / 1
LCM(10657,10673) = 113742161

Least Common Multiple (LCM) of 10657 and 10673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10657 and 10673. First we will calculate the prime factors of 10657 and 10673.

Prime Factorization of 10657

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

10657 = 106571

Prime Factorization of 10673

Prime factors of 10673 are 13, 821. Prime factorization of 10673 in exponential form is:

10673 = 131 × 8211

Now multiplying the highest exponent prime factors to calculate the LCM of 10657 and 10673.

LCM(10657,10673) = 106571 × 131 × 8211
LCM(10657,10673) = 113742161