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What is the Least Common Multiple of 95083 and 95095?

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 95083 and 95095 is 9041917885.

LCM(95083,95095) = 9041917885

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Least Common Multiple of 95083 and 95095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95083 and 95095, than apply into the LCM equation.

GCF(95083,95095) = 1
LCM(95083,95095) = ( 95083 × 95095) / 1
LCM(95083,95095) = 9041917885 / 1
LCM(95083,95095) = 9041917885

Least Common Multiple (LCM) of 95083 and 95095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95083 and 95095. First we will calculate the prime factors of 95083 and 95095.

Prime Factorization of 95083

Prime factors of 95083 are 95083. Prime factorization of 95083 in exponential form is:

95083 = 950831

Prime Factorization of 95095

Prime factors of 95095 are 5, 7, 11, 13, 19. Prime factorization of 95095 in exponential form is:

95095 = 51 × 71 × 111 × 131 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 95083 and 95095.

LCM(95083,95095) = 950831 × 51 × 71 × 111 × 131 × 191
LCM(95083,95095) = 9041917885