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What is the Least Common Multiple of 95130 and 95144?

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 95130 and 95144 is 646503480.

LCM(95130,95144) = 646503480

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Least Common Multiple of 95130 and 95144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95130 and 95144, than apply into the LCM equation.

GCF(95130,95144) = 14
LCM(95130,95144) = ( 95130 × 95144) / 14
LCM(95130,95144) = 9051048720 / 14
LCM(95130,95144) = 646503480

Least Common Multiple (LCM) of 95130 and 95144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95130 and 95144. First we will calculate the prime factors of 95130 and 95144.

Prime Factorization of 95130

Prime factors of 95130 are 2, 3, 5, 7, 151. Prime factorization of 95130 in exponential form is:

95130 = 21 × 32 × 51 × 71 × 1511

Prime Factorization of 95144

Prime factors of 95144 are 2, 7, 1699. Prime factorization of 95144 in exponential form is:

95144 = 23 × 71 × 16991

Now multiplying the highest exponent prime factors to calculate the LCM of 95130 and 95144.

LCM(95130,95144) = 23 × 32 × 51 × 71 × 1511 × 16991
LCM(95130,95144) = 646503480