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What is the Least Common Multiple of 7078 and 7094?

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 7078 and 7094 is 25105666.

LCM(7078,7094) = 25105666

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Least Common Multiple of 7078 and 7094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7078 and 7094, than apply into the LCM equation.

GCF(7078,7094) = 2
LCM(7078,7094) = ( 7078 × 7094) / 2
LCM(7078,7094) = 50211332 / 2
LCM(7078,7094) = 25105666

Least Common Multiple (LCM) of 7078 and 7094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7078 and 7094. First we will calculate the prime factors of 7078 and 7094.

Prime Factorization of 7078

Prime factors of 7078 are 2, 3539. Prime factorization of 7078 in exponential form is:

7078 = 21 × 35391

Prime Factorization of 7094

Prime factors of 7094 are 2, 3547. Prime factorization of 7094 in exponential form is:

7094 = 21 × 35471

Now multiplying the highest exponent prime factors to calculate the LCM of 7078 and 7094.

LCM(7078,7094) = 21 × 35391 × 35471
LCM(7078,7094) = 25105666