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What is the Least Common Multiple of 95346 and 95365?

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 95346 and 95365 is 9092671290.

LCM(95346,95365) = 9092671290

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Least Common Multiple of 95346 and 95365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95346 and 95365, than apply into the LCM equation.

GCF(95346,95365) = 1
LCM(95346,95365) = ( 95346 × 95365) / 1
LCM(95346,95365) = 9092671290 / 1
LCM(95346,95365) = 9092671290

Least Common Multiple (LCM) of 95346 and 95365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95346 and 95365. First we will calculate the prime factors of 95346 and 95365.

Prime Factorization of 95346

Prime factors of 95346 are 2, 3, 5297. Prime factorization of 95346 in exponential form is:

95346 = 21 × 32 × 52971

Prime Factorization of 95365

Prime factors of 95365 are 5, 19073. Prime factorization of 95365 in exponential form is:

95365 = 51 × 190731

Now multiplying the highest exponent prime factors to calculate the LCM of 95346 and 95365.

LCM(95346,95365) = 21 × 32 × 52971 × 51 × 190731
LCM(95346,95365) = 9092671290