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What is the Least Common Multiple of 1778 and 1789?

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 1778 and 1789 is 3180842.

LCM(1778,1789) = 3180842

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Least Common Multiple of 1778 and 1789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1778 and 1789, than apply into the LCM equation.

GCF(1778,1789) = 1
LCM(1778,1789) = ( 1778 × 1789) / 1
LCM(1778,1789) = 3180842 / 1
LCM(1778,1789) = 3180842

Least Common Multiple (LCM) of 1778 and 1789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1778 and 1789. First we will calculate the prime factors of 1778 and 1789.

Prime Factorization of 1778

Prime factors of 1778 are 2, 7, 127. Prime factorization of 1778 in exponential form is:

1778 = 21 × 71 × 1271

Prime Factorization of 1789

Prime factors of 1789 are 1789. Prime factorization of 1789 in exponential form is:

1789 = 17891

Now multiplying the highest exponent prime factors to calculate the LCM of 1778 and 1789.

LCM(1778,1789) = 21 × 71 × 1271 × 17891
LCM(1778,1789) = 3180842