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What is the Least Common Multiple of 95955 and 95963?

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 95955 and 95963 is 9208129665.

LCM(95955,95963) = 9208129665

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Least Common Multiple of 95955 and 95963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95955 and 95963, than apply into the LCM equation.

GCF(95955,95963) = 1
LCM(95955,95963) = ( 95955 × 95963) / 1
LCM(95955,95963) = 9208129665 / 1
LCM(95955,95963) = 9208129665

Least Common Multiple (LCM) of 95955 and 95963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95955 and 95963. First we will calculate the prime factors of 95955 and 95963.

Prime Factorization of 95955

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

95955 = 31 × 51 × 63971

Prime Factorization of 95963

Prime factors of 95963 are 7, 13709. Prime factorization of 95963 in exponential form is:

95963 = 71 × 137091

Now multiplying the highest exponent prime factors to calculate the LCM of 95955 and 95963.

LCM(95955,95963) = 31 × 51 × 63971 × 71 × 137091
LCM(95955,95963) = 9208129665