What is the Least Common Multiple of 8250 and 8257?

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 8250 and 8257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8250 and 8257, than apply into the LCM equation.

GCF(8250,8257) = 1
LCM(8250,8257) = ( 8250 × 8257) / 1
LCM(8250,8257) = 68120250 / 1
LCM(8250,8257) = 68120250

Least Common Multiple (LCM) of 8250 and 8257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8250 and 8257. First we will calculate the prime factors of 8250 and 8257.

Prime Factorization of 8250

Prime Factorization of 8257

Now multiplying the highest exponent prime factors to calculate the LCM of 8250 and 8257.

LCM(8250,8257) = 2¹ × 3¹ × 5³ × 11¹ × 23¹ × 359¹
LCM(8250,8257) = 68120250