What is the Least Common Multiple of 35225 and 35241?

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 35225 and 35241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35225 and 35241, than apply into the LCM equation.

GCF(35225,35241) = 1
LCM(35225,35241) = ( 35225 × 35241) / 1
LCM(35225,35241) = 1241364225 / 1
LCM(35225,35241) = 1241364225

Least Common Multiple (LCM) of 35225 and 35241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35225 and 35241. First we will calculate the prime factors of 35225 and 35241.

Prime Factorization of 35225

Prime Factorization of 35241

Now multiplying the highest exponent prime factors to calculate the LCM of 35225 and 35241.

LCM(35225,35241) = 5² × 1409¹ × 3¹ × 17¹ × 691¹
LCM(35225,35241) = 1241364225