What is the Least Common Multiple of 5712 and 5730?

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 5712 and 5730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5712 and 5730, than apply into the LCM equation.

GCF(5712,5730) = 6
LCM(5712,5730) = ( 5712 × 5730) / 6
LCM(5712,5730) = 32729760 / 6
LCM(5712,5730) = 5454960

Least Common Multiple (LCM) of 5712 and 5730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5712 and 5730. First we will calculate the prime factors of 5712 and 5730.

Prime Factorization of 5712

Prime Factorization of 5730

Now multiplying the highest exponent prime factors to calculate the LCM of 5712 and 5730.

LCM(5712,5730) = 2⁴ × 3¹ × 7¹ × 17¹ × 5¹ × 191¹
LCM(5712,5730) = 5454960