What is the Least Common Multiple of 1782 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 of 1782 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 1782 and 1802, than apply into the LCM equation.

GCF(1782,1802) = 2
LCM(1782,1802) = ( 1782 × 1802) / 2
LCM(1782,1802) = 3211164 / 2
LCM(1782,1802) = 1605582

Least Common Multiple (LCM) of 1782 and 1802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1782 and 1802. First we will calculate the prime factors of 1782 and 1802.

Prime Factorization of 1782

Prime Factorization of 1802

Now multiplying the highest exponent prime factors to calculate the LCM of 1782 and 1802.

LCM(1782,1802) = 2¹ × 3⁴ × 11¹ × 17¹ × 53¹
LCM(1782,1802) = 1605582