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What is the Least Common Multiple of 95064 and 95075?

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 95064 and 95075 is 9038209800.

LCM(95064,95075) = 9038209800

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Least Common Multiple of 95064 and 95075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95064 and 95075, than apply into the LCM equation.

GCF(95064,95075) = 1
LCM(95064,95075) = ( 95064 × 95075) / 1
LCM(95064,95075) = 9038209800 / 1
LCM(95064,95075) = 9038209800

Least Common Multiple (LCM) of 95064 and 95075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95064 and 95075. First we will calculate the prime factors of 95064 and 95075.

Prime Factorization of 95064

Prime factors of 95064 are 2, 3, 17, 233. Prime factorization of 95064 in exponential form is:

95064 = 23 × 31 × 171 × 2331

Prime Factorization of 95075

Prime factors of 95075 are 5, 3803. Prime factorization of 95075 in exponential form is:

95075 = 52 × 38031

Now multiplying the highest exponent prime factors to calculate the LCM of 95064 and 95075.

LCM(95064,95075) = 23 × 31 × 171 × 2331 × 52 × 38031
LCM(95064,95075) = 9038209800