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What is the Least Common Multiple of 1788 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 1788 and 1802 is 1610988.

LCM(1788,1802) = 1610988

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Least Common Multiple of 1788 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 1788 and 1802, than apply into the LCM equation.

GCF(1788,1802) = 2
LCM(1788,1802) = ( 1788 × 1802) / 2
LCM(1788,1802) = 3221976 / 2
LCM(1788,1802) = 1610988

Least Common Multiple (LCM) of 1788 and 1802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1788 and 1802. First we will calculate the prime factors of 1788 and 1802.

Prime Factorization of 1788

Prime factors of 1788 are 2, 3, 149. Prime factorization of 1788 in exponential form is:

1788 = 22 × 31 × 1491

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 1788 and 1802.

LCM(1788,1802) = 22 × 31 × 1491 × 171 × 531
LCM(1788,1802) = 1610988