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What is the Least Common Multiple of 95963 and 95967?

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 95967 is 9209281221.

LCM(95963,95967) = 9209281221

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Least Common Multiple of 95963 and 95967 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 95967, than apply into the LCM equation.

GCF(95963,95967) = 1
LCM(95963,95967) = ( 95963 × 95967) / 1
LCM(95963,95967) = 9209281221 / 1
LCM(95963,95967) = 9209281221

Least Common Multiple (LCM) of 95963 and 95967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95963 and 95967. First we will calculate the prime factors of 95963 and 95967.

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 95967

Prime factors of 95967 are 3, 10663. Prime factorization of 95967 in exponential form is:

95967 = 32 × 106631

Now multiplying the highest exponent prime factors to calculate the LCM of 95963 and 95967.

LCM(95963,95967) = 71 × 137091 × 32 × 106631
LCM(95963,95967) = 9209281221