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What is the Least Common Multiple of 95160 and 95174?

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 95160 and 95174 is 4528378920.

LCM(95160,95174) = 4528378920

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Least Common Multiple of 95160 and 95174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95160 and 95174, than apply into the LCM equation.

GCF(95160,95174) = 2
LCM(95160,95174) = ( 95160 × 95174) / 2
LCM(95160,95174) = 9056757840 / 2
LCM(95160,95174) = 4528378920

Least Common Multiple (LCM) of 95160 and 95174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95160 and 95174. First we will calculate the prime factors of 95160 and 95174.

Prime Factorization of 95160

Prime factors of 95160 are 2, 3, 5, 13, 61. Prime factorization of 95160 in exponential form is:

95160 = 23 × 31 × 51 × 131 × 611

Prime Factorization of 95174

Prime factors of 95174 are 2, 23, 2069. Prime factorization of 95174 in exponential form is:

95174 = 21 × 231 × 20691

Now multiplying the highest exponent prime factors to calculate the LCM of 95160 and 95174.

LCM(95160,95174) = 23 × 31 × 51 × 131 × 611 × 231 × 20691
LCM(95160,95174) = 4528378920