What is the Least Common Multiple of 73825 and 73839?

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 73839 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 73839, than apply into the LCM equation.

GCF(73825,73839) = 1
LCM(73825,73839) = ( 73825 × 73839) / 1
LCM(73825,73839) = 5451164175 / 1
LCM(73825,73839) = 5451164175

Least Common Multiple (LCM) of 73825 and 73839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73825 and 73839. First we will calculate the prime factors of 73825 and 73839.

Prime Factorization of 73825

Prime Factorization of 73839

Now multiplying the highest exponent prime factors to calculate the LCM of 73825 and 73839.

LCM(73825,73839) = 5² × 2953¹ × 3¹ × 151¹ × 163¹
LCM(73825,73839) = 5451164175