What is the Least Common Multiple of 3749 and 3763?

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 3749 and 3763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3749 and 3763, than apply into the LCM equation.

GCF(3749,3763) = 1
LCM(3749,3763) = ( 3749 × 3763) / 1
LCM(3749,3763) = 14107487 / 1
LCM(3749,3763) = 14107487

Least Common Multiple (LCM) of 3749 and 3763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3749 and 3763. First we will calculate the prime factors of 3749 and 3763.

Prime Factorization of 3749

Prime Factorization of 3763

Now multiplying the highest exponent prime factors to calculate the LCM of 3749 and 3763.

LCM(3749,3763) = 23¹ × 163¹ × 53¹ × 71¹
LCM(3749,3763) = 14107487