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What is the Least Common Multiple of 95125 and 95145?

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 95125 and 95145 is 1810133625.

LCM(95125,95145) = 1810133625

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Least Common Multiple of 95125 and 95145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95125 and 95145, than apply into the LCM equation.

GCF(95125,95145) = 5
LCM(95125,95145) = ( 95125 × 95145) / 5
LCM(95125,95145) = 9050668125 / 5
LCM(95125,95145) = 1810133625

Least Common Multiple (LCM) of 95125 and 95145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95125 and 95145. First we will calculate the prime factors of 95125 and 95145.

Prime Factorization of 95125

Prime factors of 95125 are 5, 761. Prime factorization of 95125 in exponential form is:

95125 = 53 × 7611

Prime Factorization of 95145

Prime factors of 95145 are 3, 5, 6343. Prime factorization of 95145 in exponential form is:

95145 = 31 × 51 × 63431

Now multiplying the highest exponent prime factors to calculate the LCM of 95125 and 95145.

LCM(95125,95145) = 53 × 7611 × 31 × 63431
LCM(95125,95145) = 1810133625