What is the Least Common Multiple of 61785 and 61794?

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 61785 and 61794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61785 and 61794, than apply into the LCM equation.

GCF(61785,61794) = 9
LCM(61785,61794) = ( 61785 × 61794) / 9
LCM(61785,61794) = 3817942290 / 9
LCM(61785,61794) = 424215810

Least Common Multiple (LCM) of 61785 and 61794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61785 and 61794. First we will calculate the prime factors of 61785 and 61794.

Prime Factorization of 61785

Prime Factorization of 61794

Now multiplying the highest exponent prime factors to calculate the LCM of 61785 and 61794.

LCM(61785,61794) = 3² × 5¹ × 1373¹ × 2¹ × 3433¹
LCM(61785,61794) = 424215810