What is the Least Common Multiple of 77840 and 77850?

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 77840 and 77850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77840 and 77850, than apply into the LCM equation.

GCF(77840,77850) = 10
LCM(77840,77850) = ( 77840 × 77850) / 10
LCM(77840,77850) = 6059844000 / 10
LCM(77840,77850) = 605984400

Least Common Multiple (LCM) of 77840 and 77850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77840 and 77850. First we will calculate the prime factors of 77840 and 77850.

Prime Factorization of 77840

Prime Factorization of 77850

Now multiplying the highest exponent prime factors to calculate the LCM of 77840 and 77850.

LCM(77840,77850) = 2⁴ × 5² × 7¹ × 139¹ × 3² × 173¹
LCM(77840,77850) = 605984400