What is the Least Common Multiple of 81241 and 81245?

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 81241 and 81245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81241 and 81245, than apply into the LCM equation.

GCF(81241,81245) = 1
LCM(81241,81245) = ( 81241 × 81245) / 1
LCM(81241,81245) = 6600425045 / 1
LCM(81241,81245) = 6600425045

Least Common Multiple (LCM) of 81241 and 81245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81241 and 81245. First we will calculate the prime factors of 81241 and 81245.

Prime Factorization of 81241

Prime Factorization of 81245

Now multiplying the highest exponent prime factors to calculate the LCM of 81241 and 81245.

LCM(81241,81245) = 137¹ × 593¹ × 5¹ × 16249¹
LCM(81241,81245) = 6600425045