What is the Least Common Multiple of 56805 and 56815?

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 56815 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 56815, than apply into the LCM equation.

GCF(56805,56815) = 5
LCM(56805,56815) = ( 56805 × 56815) / 5
LCM(56805,56815) = 3227376075 / 5
LCM(56805,56815) = 645475215

Least Common Multiple (LCM) of 56805 and 56815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56805 and 56815. First we will calculate the prime factors of 56805 and 56815.

Prime Factorization of 56805

Prime Factorization of 56815

Now multiplying the highest exponent prime factors to calculate the LCM of 56805 and 56815.

LCM(56805,56815) = 3¹ × 5¹ × 7¹ × 541¹ × 11¹ × 1033¹
LCM(56805,56815) = 645475215