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What is the Least Common Multiple of 95326 and 95340?

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 95326 and 95340 is 649170060.

LCM(95326,95340) = 649170060

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Least Common Multiple of 95326 and 95340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95326 and 95340, than apply into the LCM equation.

GCF(95326,95340) = 14
LCM(95326,95340) = ( 95326 × 95340) / 14
LCM(95326,95340) = 9088380840 / 14
LCM(95326,95340) = 649170060

Least Common Multiple (LCM) of 95326 and 95340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95326 and 95340. First we will calculate the prime factors of 95326 and 95340.

Prime Factorization of 95326

Prime factors of 95326 are 2, 7, 11, 619. Prime factorization of 95326 in exponential form is:

95326 = 21 × 71 × 111 × 6191

Prime Factorization of 95340

Prime factors of 95340 are 2, 3, 5, 7, 227. Prime factorization of 95340 in exponential form is:

95340 = 22 × 31 × 51 × 71 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 95326 and 95340.

LCM(95326,95340) = 22 × 71 × 111 × 6191 × 31 × 51 × 2271
LCM(95326,95340) = 649170060