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What is the Least Common Multiple of 77274 and 77284?

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 77274 and 77284 is 2986021908.

LCM(77274,77284) = 2986021908

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Least Common Multiple of 77274 and 77284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77274 and 77284, than apply into the LCM equation.

GCF(77274,77284) = 2
LCM(77274,77284) = ( 77274 × 77284) / 2
LCM(77274,77284) = 5972043816 / 2
LCM(77274,77284) = 2986021908

Least Common Multiple (LCM) of 77274 and 77284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77274 and 77284. First we will calculate the prime factors of 77274 and 77284.

Prime Factorization of 77274

Prime factors of 77274 are 2, 3, 53. Prime factorization of 77274 in exponential form is:

77274 = 21 × 36 × 531

Prime Factorization of 77284

Prime factors of 77284 are 2, 139. Prime factorization of 77284 in exponential form is:

77284 = 22 × 1392

Now multiplying the highest exponent prime factors to calculate the LCM of 77274 and 77284.

LCM(77274,77284) = 22 × 36 × 531 × 1392
LCM(77274,77284) = 2986021908