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What is the Least Common Multiple of 94075 and 94095?

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 94075 and 94095 is 1770397425.

LCM(94075,94095) = 1770397425

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Least Common Multiple of 94075 and 94095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94075 and 94095, than apply into the LCM equation.

GCF(94075,94095) = 5
LCM(94075,94095) = ( 94075 × 94095) / 5
LCM(94075,94095) = 8851987125 / 5
LCM(94075,94095) = 1770397425

Least Common Multiple (LCM) of 94075 and 94095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94075 and 94095. First we will calculate the prime factors of 94075 and 94095.

Prime Factorization of 94075

Prime factors of 94075 are 5, 53, 71. Prime factorization of 94075 in exponential form is:

94075 = 52 × 531 × 711

Prime Factorization of 94095

Prime factors of 94095 are 3, 5, 17, 41. Prime factorization of 94095 in exponential form is:

94095 = 33 × 51 × 171 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 94075 and 94095.

LCM(94075,94095) = 52 × 531 × 711 × 33 × 171 × 411
LCM(94075,94095) = 1770397425