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What is the Least Common Multiple of 36154 and 36163?

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 36154 and 36163 is 1307437102.

LCM(36154,36163) = 1307437102

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Least Common Multiple of 36154 and 36163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36154 and 36163, than apply into the LCM equation.

GCF(36154,36163) = 1
LCM(36154,36163) = ( 36154 × 36163) / 1
LCM(36154,36163) = 1307437102 / 1
LCM(36154,36163) = 1307437102

Least Common Multiple (LCM) of 36154 and 36163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36154 and 36163. First we will calculate the prime factors of 36154 and 36163.

Prime Factorization of 36154

Prime factors of 36154 are 2, 18077. Prime factorization of 36154 in exponential form is:

36154 = 21 × 180771

Prime Factorization of 36163

Prime factors of 36163 are 29, 43. Prime factorization of 36163 in exponential form is:

36163 = 292 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 36154 and 36163.

LCM(36154,36163) = 21 × 180771 × 292 × 431
LCM(36154,36163) = 1307437102