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What is the Least Common Multiple of 96157 and 96175?

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 96157 and 96175 is 9247899475.

LCM(96157,96175) = 9247899475

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Least Common Multiple of 96157 and 96175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96157 and 96175, than apply into the LCM equation.

GCF(96157,96175) = 1
LCM(96157,96175) = ( 96157 × 96175) / 1
LCM(96157,96175) = 9247899475 / 1
LCM(96157,96175) = 9247899475

Least Common Multiple (LCM) of 96157 and 96175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96157 and 96175. First we will calculate the prime factors of 96157 and 96175.

Prime Factorization of 96157

Prime factors of 96157 are 96157. Prime factorization of 96157 in exponential form is:

96157 = 961571

Prime Factorization of 96175

Prime factors of 96175 are 5, 3847. Prime factorization of 96175 in exponential form is:

96175 = 52 × 38471

Now multiplying the highest exponent prime factors to calculate the LCM of 96157 and 96175.

LCM(96157,96175) = 961571 × 52 × 38471
LCM(96157,96175) = 9247899475