What is the Least Common Multiple of 77850 and 77854?

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 77850 and 77854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77850 and 77854, than apply into the LCM equation.

GCF(77850,77854) = 2
LCM(77850,77854) = ( 77850 × 77854) / 2
LCM(77850,77854) = 6060933900 / 2
LCM(77850,77854) = 3030466950

Least Common Multiple (LCM) of 77850 and 77854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77850 and 77854. First we will calculate the prime factors of 77850 and 77854.

Prime Factorization of 77850

Prime Factorization of 77854

Now multiplying the highest exponent prime factors to calculate the LCM of 77850 and 77854.

LCM(77850,77854) = 2¹ × 3² × 5² × 173¹ × 7¹ × 67¹ × 83¹
LCM(77850,77854) = 3030466950