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What is the Least Common Multiple of 8075 and 8094?

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 8075 and 8094 is 3439950.

LCM(8075,8094) = 3439950

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Least Common Multiple of 8075 and 8094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8075 and 8094, than apply into the LCM equation.

GCF(8075,8094) = 19
LCM(8075,8094) = ( 8075 × 8094) / 19
LCM(8075,8094) = 65359050 / 19
LCM(8075,8094) = 3439950

Least Common Multiple (LCM) of 8075 and 8094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8075 and 8094. First we will calculate the prime factors of 8075 and 8094.

Prime Factorization of 8075

Prime factors of 8075 are 5, 17, 19. Prime factorization of 8075 in exponential form is:

8075 = 52 × 171 × 191

Prime Factorization of 8094

Prime factors of 8094 are 2, 3, 19, 71. Prime factorization of 8094 in exponential form is:

8094 = 21 × 31 × 191 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 8075 and 8094.

LCM(8075,8094) = 52 × 171 × 191 × 21 × 31 × 711
LCM(8075,8094) = 3439950