What is the Least Common Multiple of 56749 and 56756?

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 56749 and 56756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56749 and 56756, than apply into the LCM equation.

GCF(56749,56756) = 7
LCM(56749,56756) = ( 56749 × 56756) / 7
LCM(56749,56756) = 3220846244 / 7
LCM(56749,56756) = 460120892

Least Common Multiple (LCM) of 56749 and 56756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56749 and 56756. First we will calculate the prime factors of 56749 and 56756.

Prime Factorization of 56749

Prime Factorization of 56756

Now multiplying the highest exponent prime factors to calculate the LCM of 56749 and 56756.

LCM(56749,56756) = 7¹ × 11² × 67¹ × 2² × 2027¹
LCM(56749,56756) = 460120892