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What is the Least Common Multiple of 10172 and 10186?

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 10172 and 10186 is 51805996.

LCM(10172,10186) = 51805996

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Least Common Multiple of 10172 and 10186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10172 and 10186, than apply into the LCM equation.

GCF(10172,10186) = 2
LCM(10172,10186) = ( 10172 × 10186) / 2
LCM(10172,10186) = 103611992 / 2
LCM(10172,10186) = 51805996

Least Common Multiple (LCM) of 10172 and 10186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10172 and 10186. First we will calculate the prime factors of 10172 and 10186.

Prime Factorization of 10172

Prime factors of 10172 are 2, 2543. Prime factorization of 10172 in exponential form is:

10172 = 22 × 25431

Prime Factorization of 10186

Prime factors of 10186 are 2, 11, 463. Prime factorization of 10186 in exponential form is:

10186 = 21 × 111 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 10172 and 10186.

LCM(10172,10186) = 22 × 25431 × 111 × 4631
LCM(10172,10186) = 51805996