What is the Least Common Multiple of 74241 and 74254?

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 74241 and 74254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74241 and 74254, than apply into the LCM equation.

GCF(74241,74254) = 1
LCM(74241,74254) = ( 74241 × 74254) / 1
LCM(74241,74254) = 5512691214 / 1
LCM(74241,74254) = 5512691214

Least Common Multiple (LCM) of 74241 and 74254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74241 and 74254. First we will calculate the prime factors of 74241 and 74254.

Prime Factorization of 74241

Prime Factorization of 74254

Now multiplying the highest exponent prime factors to calculate the LCM of 74241 and 74254.

LCM(74241,74254) = 3² × 73¹ × 113¹ × 2¹ × 137¹ × 271¹
LCM(74241,74254) = 5512691214