What is the Least Common Multiple of 5749 and 5757?

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 5749 and 5757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5749 and 5757, than apply into the LCM equation.

GCF(5749,5757) = 1
LCM(5749,5757) = ( 5749 × 5757) / 1
LCM(5749,5757) = 33096993 / 1
LCM(5749,5757) = 33096993

Least Common Multiple (LCM) of 5749 and 5757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5749 and 5757. First we will calculate the prime factors of 5749 and 5757.

Prime Factorization of 5749

Prime Factorization of 5757

Now multiplying the highest exponent prime factors to calculate the LCM of 5749 and 5757.

LCM(5749,5757) = 5749¹ × 3¹ × 19¹ × 101¹
LCM(5749,5757) = 33096993