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What is the Least Common Multiple of 10658 and 10669?

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 10658 and 10669 is 113710202.

LCM(10658,10669) = 113710202

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Least Common Multiple of 10658 and 10669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10658 and 10669, than apply into the LCM equation.

GCF(10658,10669) = 1
LCM(10658,10669) = ( 10658 × 10669) / 1
LCM(10658,10669) = 113710202 / 1
LCM(10658,10669) = 113710202

Least Common Multiple (LCM) of 10658 and 10669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10658 and 10669. First we will calculate the prime factors of 10658 and 10669.

Prime Factorization of 10658

Prime factors of 10658 are 2, 73. Prime factorization of 10658 in exponential form is:

10658 = 21 × 732

Prime Factorization of 10669

Prime factors of 10669 are 47, 227. Prime factorization of 10669 in exponential form is:

10669 = 471 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 10658 and 10669.

LCM(10658,10669) = 21 × 732 × 471 × 2271
LCM(10658,10669) = 113710202