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What is the Least Common Multiple of 27763 and 27783?

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 27763 and 27783 is 771339429.

LCM(27763,27783) = 771339429

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Least Common Multiple of 27763 and 27783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27763 and 27783, than apply into the LCM equation.

GCF(27763,27783) = 1
LCM(27763,27783) = ( 27763 × 27783) / 1
LCM(27763,27783) = 771339429 / 1
LCM(27763,27783) = 771339429

Least Common Multiple (LCM) of 27763 and 27783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27763 and 27783. First we will calculate the prime factors of 27763 and 27783.

Prime Factorization of 27763

Prime factors of 27763 are 27763. Prime factorization of 27763 in exponential form is:

27763 = 277631

Prime Factorization of 27783

Prime factors of 27783 are 3, 7. Prime factorization of 27783 in exponential form is:

27783 = 34 × 73

Now multiplying the highest exponent prime factors to calculate the LCM of 27763 and 27783.

LCM(27763,27783) = 277631 × 34 × 73
LCM(27763,27783) = 771339429