What is the Least Common Multiple of 49785 and 49794?

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 49785 and 49794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49785 and 49794, than apply into the LCM equation.

GCF(49785,49794) = 3
LCM(49785,49794) = ( 49785 × 49794) / 3
LCM(49785,49794) = 2478994290 / 3
LCM(49785,49794) = 826331430

Least Common Multiple (LCM) of 49785 and 49794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49785 and 49794. First we will calculate the prime factors of 49785 and 49794.

Prime Factorization of 49785

Prime Factorization of 49794

Now multiplying the highest exponent prime factors to calculate the LCM of 49785 and 49794.

LCM(49785,49794) = 3¹ × 5¹ × 3319¹ × 2¹ × 43¹ × 193¹
LCM(49785,49794) = 826331430