What is the Least Common Multiple of 3680 and 3695?

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 3695 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 3695, than apply into the LCM equation.

GCF(3680,3695) = 5
LCM(3680,3695) = ( 3680 × 3695) / 5
LCM(3680,3695) = 13597600 / 5
LCM(3680,3695) = 2719520

Least Common Multiple (LCM) of 3680 and 3695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3680 and 3695. First we will calculate the prime factors of 3680 and 3695.

Prime Factorization of 3680

Prime Factorization of 3695

Now multiplying the highest exponent prime factors to calculate the LCM of 3680 and 3695.

LCM(3680,3695) = 2⁵ × 5¹ × 23¹ × 739¹
LCM(3680,3695) = 2719520