What is the Least Common Multiple of 73825 and 73832?

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 73825 and 73832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73825 and 73832, than apply into the LCM equation.

GCF(73825,73832) = 1
LCM(73825,73832) = ( 73825 × 73832) / 1
LCM(73825,73832) = 5450647400 / 1
LCM(73825,73832) = 5450647400

Least Common Multiple (LCM) of 73825 and 73832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73825 and 73832. First we will calculate the prime factors of 73825 and 73832.

Prime Factorization of 73825

Prime Factorization of 73832

Now multiplying the highest exponent prime factors to calculate the LCM of 73825 and 73832.

LCM(73825,73832) = 5² × 2953¹ × 2³ × 11¹ × 839¹
LCM(73825,73832) = 5450647400