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What is the Least Common Multiple of 95008 and 95014?

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 95008 and 95014 is 4513545056.

LCM(95008,95014) = 4513545056

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Least Common Multiple of 95008 and 95014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95008 and 95014, than apply into the LCM equation.

GCF(95008,95014) = 2
LCM(95008,95014) = ( 95008 × 95014) / 2
LCM(95008,95014) = 9027090112 / 2
LCM(95008,95014) = 4513545056

Least Common Multiple (LCM) of 95008 and 95014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95008 and 95014. First we will calculate the prime factors of 95008 and 95014.

Prime Factorization of 95008

Prime factors of 95008 are 2, 2969. Prime factorization of 95008 in exponential form is:

95008 = 25 × 29691

Prime Factorization of 95014

Prime factors of 95014 are 2, 47507. Prime factorization of 95014 in exponential form is:

95014 = 21 × 475071

Now multiplying the highest exponent prime factors to calculate the LCM of 95008 and 95014.

LCM(95008,95014) = 25 × 29691 × 475071
LCM(95008,95014) = 4513545056