What is the Least Common Multiple of 1768 and 1786?

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 1768 and 1786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1768 and 1786, than apply into the LCM equation.

GCF(1768,1786) = 2
LCM(1768,1786) = ( 1768 × 1786) / 2
LCM(1768,1786) = 3157648 / 2
LCM(1768,1786) = 1578824

Least Common Multiple (LCM) of 1768 and 1786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1768 and 1786. First we will calculate the prime factors of 1768 and 1786.

Prime Factorization of 1768

Prime Factorization of 1786

Now multiplying the highest exponent prime factors to calculate the LCM of 1768 and 1786.

LCM(1768,1786) = 2³ × 13¹ × 17¹ × 19¹ × 47¹
LCM(1768,1786) = 1578824