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What is the Least Common Multiple of 95302 and 95312?

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 95302 and 95312 is 4541712112.

LCM(95302,95312) = 4541712112

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Least Common Multiple of 95302 and 95312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95302 and 95312, than apply into the LCM equation.

GCF(95302,95312) = 2
LCM(95302,95312) = ( 95302 × 95312) / 2
LCM(95302,95312) = 9083424224 / 2
LCM(95302,95312) = 4541712112

Least Common Multiple (LCM) of 95302 and 95312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95302 and 95312. First we will calculate the prime factors of 95302 and 95312.

Prime Factorization of 95302

Prime factors of 95302 are 2, 17, 2803. Prime factorization of 95302 in exponential form is:

95302 = 21 × 171 × 28031

Prime Factorization of 95312

Prime factors of 95312 are 2, 7, 23, 37. Prime factorization of 95312 in exponential form is:

95312 = 24 × 71 × 231 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 95302 and 95312.

LCM(95302,95312) = 24 × 171 × 28031 × 71 × 231 × 371
LCM(95302,95312) = 4541712112