What is the Least Common Multiple of 5750 and 5765?

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 5750 and 5765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5750 and 5765, than apply into the LCM equation.

GCF(5750,5765) = 5
LCM(5750,5765) = ( 5750 × 5765) / 5
LCM(5750,5765) = 33148750 / 5
LCM(5750,5765) = 6629750

Least Common Multiple (LCM) of 5750 and 5765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5750 and 5765. First we will calculate the prime factors of 5750 and 5765.

Prime Factorization of 5750

Prime Factorization of 5765

Now multiplying the highest exponent prime factors to calculate the LCM of 5750 and 5765.

LCM(5750,5765) = 2¹ × 5³ × 23¹ × 1153¹
LCM(5750,5765) = 6629750