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What is the Least Common Multiple of 95263 and 95277?

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 95263 and 95277 is 1296624693.

LCM(95263,95277) = 1296624693

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Least Common Multiple of 95263 and 95277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95263 and 95277, than apply into the LCM equation.

GCF(95263,95277) = 7
LCM(95263,95277) = ( 95263 × 95277) / 7
LCM(95263,95277) = 9076372851 / 7
LCM(95263,95277) = 1296624693

Least Common Multiple (LCM) of 95263 and 95277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95263 and 95277. First we will calculate the prime factors of 95263 and 95277.

Prime Factorization of 95263

Prime factors of 95263 are 7, 31, 439. Prime factorization of 95263 in exponential form is:

95263 = 71 × 311 × 4391

Prime Factorization of 95277

Prime factors of 95277 are 3, 7, 13, 349. Prime factorization of 95277 in exponential form is:

95277 = 31 × 71 × 131 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 95263 and 95277.

LCM(95263,95277) = 71 × 311 × 4391 × 31 × 131 × 3491
LCM(95263,95277) = 1296624693