What is the Least Common Multiple of 3680 and 3698?

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 3680 and 3698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3680 and 3698, than apply into the LCM equation.

GCF(3680,3698) = 2
LCM(3680,3698) = ( 3680 × 3698) / 2
LCM(3680,3698) = 13608640 / 2
LCM(3680,3698) = 6804320

Least Common Multiple (LCM) of 3680 and 3698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3680 and 3698. First we will calculate the prime factors of 3680 and 3698.

Prime Factorization of 3680

Prime Factorization of 3698

Now multiplying the highest exponent prime factors to calculate the LCM of 3680 and 3698.

LCM(3680,3698) = 2⁵ × 5¹ × 23¹ × 43²
LCM(3680,3698) = 6804320