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What is the Least Common Multiple of 27778 and 27795?

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 27795 is 45417030.

LCM(27778,27795) = 45417030

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Least Common Multiple of 27778 and 27795 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 27795, than apply into the LCM equation.

GCF(27778,27795) = 17
LCM(27778,27795) = ( 27778 × 27795) / 17
LCM(27778,27795) = 772089510 / 17
LCM(27778,27795) = 45417030

Least Common Multiple (LCM) of 27778 and 27795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27778 and 27795. First we will calculate the prime factors of 27778 and 27795.

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 27795

Prime factors of 27795 are 3, 5, 17, 109. Prime factorization of 27795 in exponential form is:

27795 = 31 × 51 × 171 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 27778 and 27795.

LCM(27778,27795) = 21 × 171 × 191 × 431 × 31 × 51 × 1091
LCM(27778,27795) = 45417030