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What is the Least Common Multiple of 10057 and 10067?

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 10057 and 10067 is 101243819.

LCM(10057,10067) = 101243819

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Least Common Multiple of 10057 and 10067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10057 and 10067, than apply into the LCM equation.

GCF(10057,10067) = 1
LCM(10057,10067) = ( 10057 × 10067) / 1
LCM(10057,10067) = 101243819 / 1
LCM(10057,10067) = 101243819

Least Common Multiple (LCM) of 10057 and 10067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10057 and 10067. First we will calculate the prime factors of 10057 and 10067.

Prime Factorization of 10057

Prime factors of 10057 are 89, 113. Prime factorization of 10057 in exponential form is:

10057 = 891 × 1131

Prime Factorization of 10067

Prime factors of 10067 are 10067. Prime factorization of 10067 in exponential form is:

10067 = 100671

Now multiplying the highest exponent prime factors to calculate the LCM of 10057 and 10067.

LCM(10057,10067) = 891 × 1131 × 100671
LCM(10057,10067) = 101243819