What is the Least Common Multiple of 1778 and 1790?

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 1778 and 1790 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 1790, than apply into the LCM equation.

GCF(1778,1790) = 2
LCM(1778,1790) = ( 1778 × 1790) / 2
LCM(1778,1790) = 3182620 / 2
LCM(1778,1790) = 1591310

Least Common Multiple (LCM) of 1778 and 1790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1778 and 1790. First we will calculate the prime factors of 1778 and 1790.

Prime Factorization of 1778

Prime Factorization of 1790

Now multiplying the highest exponent prime factors to calculate the LCM of 1778 and 1790.

LCM(1778,1790) = 2¹ × 7¹ × 127¹ × 5¹ × 179¹
LCM(1778,1790) = 1591310