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What is the Least Common Multiple of 95030 and 95034?

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 95030 and 95034 is 4515540510.

LCM(95030,95034) = 4515540510

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Least Common Multiple of 95030 and 95034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95030 and 95034, than apply into the LCM equation.

GCF(95030,95034) = 2
LCM(95030,95034) = ( 95030 × 95034) / 2
LCM(95030,95034) = 9031081020 / 2
LCM(95030,95034) = 4515540510

Least Common Multiple (LCM) of 95030 and 95034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95030 and 95034. First we will calculate the prime factors of 95030 and 95034.

Prime Factorization of 95030

Prime factors of 95030 are 2, 5, 13, 17, 43. Prime factorization of 95030 in exponential form is:

95030 = 21 × 51 × 131 × 171 × 431

Prime Factorization of 95034

Prime factors of 95034 are 2, 3, 47, 337. Prime factorization of 95034 in exponential form is:

95034 = 21 × 31 × 471 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 95030 and 95034.

LCM(95030,95034) = 21 × 51 × 131 × 171 × 431 × 31 × 471 × 3371
LCM(95030,95034) = 4515540510