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What is the Least Common Multiple of 1786 and 1802?

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 1786 and 1802 is 1609186.

LCM(1786,1802) = 1609186

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Least Common Multiple of 1786 and 1802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1786 and 1802, than apply into the LCM equation.

GCF(1786,1802) = 2
LCM(1786,1802) = ( 1786 × 1802) / 2
LCM(1786,1802) = 3218372 / 2
LCM(1786,1802) = 1609186

Least Common Multiple (LCM) of 1786 and 1802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1786 and 1802. First we will calculate the prime factors of 1786 and 1802.

Prime Factorization of 1786

Prime factors of 1786 are 2, 19, 47. Prime factorization of 1786 in exponential form is:

1786 = 21 × 191 × 471

Prime Factorization of 1802

Prime factors of 1802 are 2, 17, 53. Prime factorization of 1802 in exponential form is:

1802 = 21 × 171 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 1786 and 1802.

LCM(1786,1802) = 21 × 191 × 471 × 171 × 531
LCM(1786,1802) = 1609186