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What is the Least Common Multiple of 28094 and 28112?

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 28094 and 28112 is 394889264.

LCM(28094,28112) = 394889264

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Least Common Multiple of 28094 and 28112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28094 and 28112, than apply into the LCM equation.

GCF(28094,28112) = 2
LCM(28094,28112) = ( 28094 × 28112) / 2
LCM(28094,28112) = 789778528 / 2
LCM(28094,28112) = 394889264

Least Common Multiple (LCM) of 28094 and 28112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28094 and 28112. First we will calculate the prime factors of 28094 and 28112.

Prime Factorization of 28094

Prime factors of 28094 are 2, 11, 1277. Prime factorization of 28094 in exponential form is:

28094 = 21 × 111 × 12771

Prime Factorization of 28112

Prime factors of 28112 are 2, 7, 251. Prime factorization of 28112 in exponential form is:

28112 = 24 × 71 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 28094 and 28112.

LCM(28094,28112) = 24 × 111 × 12771 × 71 × 2511
LCM(28094,28112) = 394889264