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What is the Least Common Multiple of 36160 and 36168?

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 36160 and 36168 is 163479360.

LCM(36160,36168) = 163479360

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Least Common Multiple of 36160 and 36168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36160 and 36168, than apply into the LCM equation.

GCF(36160,36168) = 8
LCM(36160,36168) = ( 36160 × 36168) / 8
LCM(36160,36168) = 1307834880 / 8
LCM(36160,36168) = 163479360

Least Common Multiple (LCM) of 36160 and 36168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36160 and 36168. First we will calculate the prime factors of 36160 and 36168.

Prime Factorization of 36160

Prime factors of 36160 are 2, 5, 113. Prime factorization of 36160 in exponential form is:

36160 = 26 × 51 × 1131

Prime Factorization of 36168

Prime factors of 36168 are 2, 3, 11, 137. Prime factorization of 36168 in exponential form is:

36168 = 23 × 31 × 111 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 36160 and 36168.

LCM(36160,36168) = 26 × 51 × 1131 × 31 × 111 × 1371
LCM(36160,36168) = 163479360