What is the Least Common Multiple of 55805 and 55815?

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 55805 and 55815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55805 and 55815, than apply into the LCM equation.

GCF(55805,55815) = 5
LCM(55805,55815) = ( 55805 × 55815) / 5
LCM(55805,55815) = 3114756075 / 5
LCM(55805,55815) = 622951215

Least Common Multiple (LCM) of 55805 and 55815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55805 and 55815. First we will calculate the prime factors of 55805 and 55815.

Prime Factorization of 55805

Prime Factorization of 55815

Now multiplying the highest exponent prime factors to calculate the LCM of 55805 and 55815.

LCM(55805,55815) = 5¹ × 11161¹ × 3¹ × 61²
LCM(55805,55815) = 622951215