What is the Least Common Multiple of 33745 and 33757?

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 33757 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 33757, than apply into the LCM equation.

GCF(33745,33757) = 1
LCM(33745,33757) = ( 33745 × 33757) / 1
LCM(33745,33757) = 1139129965 / 1
LCM(33745,33757) = 1139129965

Least Common Multiple (LCM) of 33745 and 33757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33745 and 33757. First we will calculate the prime factors of 33745 and 33757.

Prime Factorization of 33745

Prime Factorization of 33757

Now multiplying the highest exponent prime factors to calculate the LCM of 33745 and 33757.

LCM(33745,33757) = 5¹ × 17¹ × 397¹ × 33757¹
LCM(33745,33757) = 1139129965