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What is the Least Common Multiple of 95947 and 95955?

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 95947 and 95955 is 9206594385.

LCM(95947,95955) = 9206594385

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Least Common Multiple of 95947 and 95955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95947 and 95955, than apply into the LCM equation.

GCF(95947,95955) = 1
LCM(95947,95955) = ( 95947 × 95955) / 1
LCM(95947,95955) = 9206594385 / 1
LCM(95947,95955) = 9206594385

Least Common Multiple (LCM) of 95947 and 95955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95947 and 95955. First we will calculate the prime factors of 95947 and 95955.

Prime Factorization of 95947

Prime factors of 95947 are 95947. Prime factorization of 95947 in exponential form is:

95947 = 959471

Prime Factorization of 95955

Prime factors of 95955 are 3, 5, 6397. Prime factorization of 95955 in exponential form is:

95955 = 31 × 51 × 63971

Now multiplying the highest exponent prime factors to calculate the LCM of 95947 and 95955.

LCM(95947,95955) = 959471 × 31 × 51 × 63971
LCM(95947,95955) = 9206594385