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What is the Least Common Multiple of 95095 and 95112?

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 95095 and 95112 is 9044675640.

LCM(95095,95112) = 9044675640

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Least Common Multiple of 95095 and 95112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95095 and 95112, than apply into the LCM equation.

GCF(95095,95112) = 1
LCM(95095,95112) = ( 95095 × 95112) / 1
LCM(95095,95112) = 9044675640 / 1
LCM(95095,95112) = 9044675640

Least Common Multiple (LCM) of 95095 and 95112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95095 and 95112. First we will calculate the prime factors of 95095 and 95112.

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

Prime Factorization of 95112

Prime factors of 95112 are 2, 3, 1321. Prime factorization of 95112 in exponential form is:

95112 = 23 × 32 × 13211

Now multiplying the highest exponent prime factors to calculate the LCM of 95095 and 95112.

LCM(95095,95112) = 51 × 71 × 111 × 131 × 191 × 23 × 32 × 13211
LCM(95095,95112) = 9044675640