What is the Least Common Multiple of 5762 and 5768?

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 5762 and 5768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5762 and 5768, than apply into the LCM equation.

GCF(5762,5768) = 2
LCM(5762,5768) = ( 5762 × 5768) / 2
LCM(5762,5768) = 33235216 / 2
LCM(5762,5768) = 16617608

Least Common Multiple (LCM) of 5762 and 5768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5762 and 5768. First we will calculate the prime factors of 5762 and 5768.

Prime Factorization of 5762

Prime Factorization of 5768

Now multiplying the highest exponent prime factors to calculate the LCM of 5762 and 5768.

LCM(5762,5768) = 2³ × 43¹ × 67¹ × 7¹ × 103¹
LCM(5762,5768) = 16617608