What is the Least Common Multiple of 77850 and 77862?

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 77862 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 77862, than apply into the LCM equation.

GCF(77850,77862) = 6
LCM(77850,77862) = ( 77850 × 77862) / 6
LCM(77850,77862) = 6061556700 / 6
LCM(77850,77862) = 1010259450

Least Common Multiple (LCM) of 77850 and 77862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77850 and 77862. First we will calculate the prime factors of 77850 and 77862.

Prime Factorization of 77850

Prime Factorization of 77862

Now multiplying the highest exponent prime factors to calculate the LCM of 77850 and 77862.

LCM(77850,77862) = 2¹ × 3² × 5² × 173¹ × 19¹ × 683¹
LCM(77850,77862) = 1010259450