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What is the Least Common Multiple of 10178 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 10178 and 10186 is 51836554.

LCM(10178,10186) = 51836554

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Least Common Multiple of 10178 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 10178 and 10186, than apply into the LCM equation.

GCF(10178,10186) = 2
LCM(10178,10186) = ( 10178 × 10186) / 2
LCM(10178,10186) = 103673108 / 2
LCM(10178,10186) = 51836554

Least Common Multiple (LCM) of 10178 and 10186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10178 and 10186. First we will calculate the prime factors of 10178 and 10186.

Prime Factorization of 10178

Prime factors of 10178 are 2, 7, 727. Prime factorization of 10178 in exponential form is:

10178 = 21 × 71 × 7271

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 10178 and 10186.

LCM(10178,10186) = 21 × 71 × 7271 × 111 × 4631
LCM(10178,10186) = 51836554