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What is the Least Common Multiple of 27778 and 27793?

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 27778 and 27793 is 772033954.

LCM(27778,27793) = 772033954

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Least Common Multiple of 27778 and 27793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27778 and 27793, than apply into the LCM equation.

GCF(27778,27793) = 1
LCM(27778,27793) = ( 27778 × 27793) / 1
LCM(27778,27793) = 772033954 / 1
LCM(27778,27793) = 772033954

Least Common Multiple (LCM) of 27778 and 27793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27778 and 27793. First we will calculate the prime factors of 27778 and 27793.

Prime Factorization of 27778

Prime factors of 27778 are 2, 17, 19, 43. Prime factorization of 27778 in exponential form is:

27778 = 21 × 171 × 191 × 431

Prime Factorization of 27793

Prime factors of 27793 are 27793. Prime factorization of 27793 in exponential form is:

27793 = 277931

Now multiplying the highest exponent prime factors to calculate the LCM of 27778 and 27793.

LCM(27778,27793) = 21 × 171 × 191 × 431 × 277931
LCM(27778,27793) = 772033954