What is the Least Common Multiple of 55785 and 55805?

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 55785 and 55805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55785 and 55805, than apply into the LCM equation.

GCF(55785,55805) = 5
LCM(55785,55805) = ( 55785 × 55805) / 5
LCM(55785,55805) = 3113081925 / 5
LCM(55785,55805) = 622616385

Least Common Multiple (LCM) of 55785 and 55805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55785 and 55805. First we will calculate the prime factors of 55785 and 55805.

Prime Factorization of 55785

Prime Factorization of 55805

Now multiplying the highest exponent prime factors to calculate the LCM of 55785 and 55805.

LCM(55785,55805) = 3¹ × 5¹ × 3719¹ × 11161¹
LCM(55785,55805) = 622616385