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What is the Least Common Multiple of 95963 and 95979?

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 95963 and 95979 is 9210432777.

LCM(95963,95979) = 9210432777

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Least Common Multiple of 95963 and 95979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95963 and 95979, than apply into the LCM equation.

GCF(95963,95979) = 1
LCM(95963,95979) = ( 95963 × 95979) / 1
LCM(95963,95979) = 9210432777 / 1
LCM(95963,95979) = 9210432777

Least Common Multiple (LCM) of 95963 and 95979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95963 and 95979. First we will calculate the prime factors of 95963 and 95979.

Prime Factorization of 95963

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

95963 = 71 × 137091

Prime Factorization of 95979

Prime factors of 95979 are 3, 13, 23, 107. Prime factorization of 95979 in exponential form is:

95979 = 31 × 131 × 231 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 95963 and 95979.

LCM(95963,95979) = 71 × 137091 × 31 × 131 × 231 × 1071
LCM(95963,95979) = 9210432777