What is the Least Common Multiple of 1658 and 1678?

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 1658 and 1678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1658 and 1678, than apply into the LCM equation.

GCF(1658,1678) = 2
LCM(1658,1678) = ( 1658 × 1678) / 2
LCM(1658,1678) = 2782124 / 2
LCM(1658,1678) = 1391062

Least Common Multiple (LCM) of 1658 and 1678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1658 and 1678. First we will calculate the prime factors of 1658 and 1678.

Prime Factorization of 1658

Prime Factorization of 1678

Now multiplying the highest exponent prime factors to calculate the LCM of 1658 and 1678.

LCM(1658,1678) = 2¹ × 829¹ × 839¹
LCM(1658,1678) = 1391062