What is the Least Common Multiple of 2698 and 2702?

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 2698 and 2702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2698 and 2702, than apply into the LCM equation.

GCF(2698,2702) = 2
LCM(2698,2702) = ( 2698 × 2702) / 2
LCM(2698,2702) = 7289996 / 2
LCM(2698,2702) = 3644998

Least Common Multiple (LCM) of 2698 and 2702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2698 and 2702. First we will calculate the prime factors of 2698 and 2702.

Prime Factorization of 2698

Prime Factorization of 2702

Now multiplying the highest exponent prime factors to calculate the LCM of 2698 and 2702.

LCM(2698,2702) = 2¹ × 19¹ × 71¹ × 7¹ × 193¹
LCM(2698,2702) = 3644998