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What is the Least Common Multiple of 95302 and 95322?

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 95322 is 4542188622.

LCM(95302,95322) = 4542188622

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Least Common Multiple of 95302 and 95322 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 95322, than apply into the LCM equation.

GCF(95302,95322) = 2
LCM(95302,95322) = ( 95302 × 95322) / 2
LCM(95302,95322) = 9084377244 / 2
LCM(95302,95322) = 4542188622

Least Common Multiple (LCM) of 95302 and 95322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95302 and 95322. First we will calculate the prime factors of 95302 and 95322.

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 95322

Prime factors of 95322 are 2, 3, 15887. Prime factorization of 95322 in exponential form is:

95322 = 21 × 31 × 158871

Now multiplying the highest exponent prime factors to calculate the LCM of 95302 and 95322.

LCM(95302,95322) = 21 × 171 × 28031 × 31 × 158871
LCM(95302,95322) = 4542188622