What is the Least Common Multiple of 2618 and 2638?

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 2618 and 2638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2618 and 2638, than apply into the LCM equation.

GCF(2618,2638) = 2
LCM(2618,2638) = ( 2618 × 2638) / 2
LCM(2618,2638) = 6906284 / 2
LCM(2618,2638) = 3453142

Least Common Multiple (LCM) of 2618 and 2638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2618 and 2638. First we will calculate the prime factors of 2618 and 2638.

Prime Factorization of 2618

Prime Factorization of 2638

Now multiplying the highest exponent prime factors to calculate the LCM of 2618 and 2638.

LCM(2618,2638) = 2¹ × 7¹ × 11¹ × 17¹ × 1319¹
LCM(2618,2638) = 3453142