What is the Least Common Multiple of 56805 and 56823?

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 56805 and 56823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56805 and 56823, than apply into the LCM equation.

GCF(56805,56823) = 3
LCM(56805,56823) = ( 56805 × 56823) / 3
LCM(56805,56823) = 3227830515 / 3
LCM(56805,56823) = 1075943505

Least Common Multiple (LCM) of 56805 and 56823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56805 and 56823. First we will calculate the prime factors of 56805 and 56823.

Prime Factorization of 56805

Prime Factorization of 56823

Now multiplying the highest exponent prime factors to calculate the LCM of 56805 and 56823.

LCM(56805,56823) = 3¹ × 5¹ × 7¹ × 541¹ × 13¹ × 31¹ × 47¹
LCM(56805,56823) = 1075943505