What is the Least Common Multiple of 61794 and 61805?

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 61794 and 61805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61794 and 61805, than apply into the LCM equation.

GCF(61794,61805) = 1
LCM(61794,61805) = ( 61794 × 61805) / 1
LCM(61794,61805) = 3819178170 / 1
LCM(61794,61805) = 3819178170

Least Common Multiple (LCM) of 61794 and 61805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61794 and 61805. First we will calculate the prime factors of 61794 and 61805.

Prime Factorization of 61794

Prime Factorization of 61805

Now multiplying the highest exponent prime factors to calculate the LCM of 61794 and 61805.

LCM(61794,61805) = 2¹ × 3² × 3433¹ × 5¹ × 47¹ × 263¹
LCM(61794,61805) = 3819178170