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What is the Least Common Multiple of 10170 and 10188?

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 10170 and 10188 is 5756220.

LCM(10170,10188) = 5756220

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Least Common Multiple of 10170 and 10188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10170 and 10188, than apply into the LCM equation.

GCF(10170,10188) = 18
LCM(10170,10188) = ( 10170 × 10188) / 18
LCM(10170,10188) = 103611960 / 18
LCM(10170,10188) = 5756220

Least Common Multiple (LCM) of 10170 and 10188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10170 and 10188. First we will calculate the prime factors of 10170 and 10188.

Prime Factorization of 10170

Prime factors of 10170 are 2, 3, 5, 113. Prime factorization of 10170 in exponential form is:

10170 = 21 × 32 × 51 × 1131

Prime Factorization of 10188

Prime factors of 10188 are 2, 3, 283. Prime factorization of 10188 in exponential form is:

10188 = 22 × 32 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 10170 and 10188.

LCM(10170,10188) = 22 × 32 × 51 × 1131 × 2831
LCM(10170,10188) = 5756220