What is the Least Common Multiple of 5762 and 5776?

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 5776 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 5776, than apply into the LCM equation.

GCF(5762,5776) = 2
LCM(5762,5776) = ( 5762 × 5776) / 2
LCM(5762,5776) = 33281312 / 2
LCM(5762,5776) = 16640656

Least Common Multiple (LCM) of 5762 and 5776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5762 and 5776. First we will calculate the prime factors of 5762 and 5776.

Prime Factorization of 5762

Prime Factorization of 5776

Now multiplying the highest exponent prime factors to calculate the LCM of 5762 and 5776.

LCM(5762,5776) = 2⁴ × 43¹ × 67¹ × 19²
LCM(5762,5776) = 16640656