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Least Common Multiple of 91117 and 91125

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 91117 and 91125 is 8303036625.

LCM(91117,91125) = 8303036625

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Least Common Multiple of 91117 and 91125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91117 and 91125, than apply into the LCM equation.

GCF(91117,91125) = 1
LCM(91117,91125) = ( 91117 × 91125) / 1
LCM(91117,91125) = 8303036625 / 1
LCM(91117,91125) = 8303036625

Least Common Multiple (LCM) of 91117 and 91125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91117 and 91125. First we will calculate the prime factors of 91117 and 91125.

Prime Factorization of 91117

Prime factors of 91117 are 13, 43, 163. Prime factorization of 91117 in exponential form is:

91117 = 131 × 431 × 1631

Prime Factorization of 91125

Prime factors of 91125 are 3, 5. Prime factorization of 91125 in exponential form is:

91125 = 36 × 53

Now multiplying the highest exponent prime factors to calculate the LCM of 91117 and 91125.

LCM(91117,91125) = 131 × 431 × 1631 × 36 × 53
LCM(91117,91125) = 8303036625

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vivek meena 2020-03-05 20:25:19

Lcm of 91125

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