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What is the Least Common Multiple of 17770 and 17788?

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 17770 and 17788 is 158046380.

LCM(17770,17788) = 158046380

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Least Common Multiple of 17770 and 17788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17770 and 17788, than apply into the LCM equation.

GCF(17770,17788) = 2
LCM(17770,17788) = ( 17770 × 17788) / 2
LCM(17770,17788) = 316092760 / 2
LCM(17770,17788) = 158046380

Least Common Multiple (LCM) of 17770 and 17788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17770 and 17788. First we will calculate the prime factors of 17770 and 17788.

Prime Factorization of 17770

Prime factors of 17770 are 2, 5, 1777. Prime factorization of 17770 in exponential form is:

17770 = 21 × 51 × 17771

Prime Factorization of 17788

Prime factors of 17788 are 2, 4447. Prime factorization of 17788 in exponential form is:

17788 = 22 × 44471

Now multiplying the highest exponent prime factors to calculate the LCM of 17770 and 17788.

LCM(17770,17788) = 22 × 51 × 17771 × 44471
LCM(17770,17788) = 158046380