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What is the Least Common Multiple of 95133 and 95151?

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 95133 and 95151 is 3017333361.

LCM(95133,95151) = 3017333361

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Least Common Multiple of 95133 and 95151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95133 and 95151, than apply into the LCM equation.

GCF(95133,95151) = 3
LCM(95133,95151) = ( 95133 × 95151) / 3
LCM(95133,95151) = 9052000083 / 3
LCM(95133,95151) = 3017333361

Least Common Multiple (LCM) of 95133 and 95151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95133 and 95151. First we will calculate the prime factors of 95133 and 95151.

Prime Factorization of 95133

Prime factors of 95133 are 3, 19, 1669. Prime factorization of 95133 in exponential form is:

95133 = 31 × 191 × 16691

Prime Factorization of 95151

Prime factors of 95151 are 3, 7, 23, 197. Prime factorization of 95151 in exponential form is:

95151 = 31 × 71 × 231 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 95133 and 95151.

LCM(95133,95151) = 31 × 191 × 16691 × 71 × 231 × 1971
LCM(95133,95151) = 3017333361