What is the Least Common Multiple of 3734 and 3749?

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 3734 and 3749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3734 and 3749, than apply into the LCM equation.

GCF(3734,3749) = 1
LCM(3734,3749) = ( 3734 × 3749) / 1
LCM(3734,3749) = 13998766 / 1
LCM(3734,3749) = 13998766

Least Common Multiple (LCM) of 3734 and 3749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3734 and 3749. First we will calculate the prime factors of 3734 and 3749.

Prime Factorization of 3734

Prime Factorization of 3749

Now multiplying the highest exponent prime factors to calculate the LCM of 3734 and 3749.

LCM(3734,3749) = 2¹ × 1867¹ × 23¹ × 163¹
LCM(3734,3749) = 13998766