What is the Least Common Multiple of 2678 and 2698?

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 2678 and 2698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2678 and 2698, than apply into the LCM equation.

GCF(2678,2698) = 2
LCM(2678,2698) = ( 2678 × 2698) / 2
LCM(2678,2698) = 7225244 / 2
LCM(2678,2698) = 3612622

Least Common Multiple (LCM) of 2678 and 2698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2678 and 2698. First we will calculate the prime factors of 2678 and 2698.

Prime Factorization of 2678

Prime Factorization of 2698

Now multiplying the highest exponent prime factors to calculate the LCM of 2678 and 2698.

LCM(2678,2698) = 2¹ × 13¹ × 103¹ × 19¹ × 71¹
LCM(2678,2698) = 3612622