What is the Least Common Multiple of 3760 and 3779?

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 3760 and 3779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3760 and 3779, than apply into the LCM equation.

GCF(3760,3779) = 1
LCM(3760,3779) = ( 3760 × 3779) / 1
LCM(3760,3779) = 14209040 / 1
LCM(3760,3779) = 14209040

Least Common Multiple (LCM) of 3760 and 3779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3760 and 3779. First we will calculate the prime factors of 3760 and 3779.

Prime Factorization of 3760

Prime Factorization of 3779

Now multiplying the highest exponent prime factors to calculate the LCM of 3760 and 3779.

LCM(3760,3779) = 2⁴ × 5¹ × 47¹ × 3779¹
LCM(3760,3779) = 14209040