What is the Least Common Multiple of 33745 and 33749?

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 33745 and 33749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33745 and 33749, than apply into the LCM equation.

GCF(33745,33749) = 1
LCM(33745,33749) = ( 33745 × 33749) / 1
LCM(33745,33749) = 1138860005 / 1
LCM(33745,33749) = 1138860005

Least Common Multiple (LCM) of 33745 and 33749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33745 and 33749. First we will calculate the prime factors of 33745 and 33749.

Prime Factorization of 33745

Prime Factorization of 33749

Now multiplying the highest exponent prime factors to calculate the LCM of 33745 and 33749.

LCM(33745,33749) = 5¹ × 17¹ × 397¹ × 33749¹
LCM(33745,33749) = 1138860005