What is the Least Common Multiple of 8239 and 8253?

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 8239 and 8253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8239 and 8253, than apply into the LCM equation.

GCF(8239,8253) = 7
LCM(8239,8253) = ( 8239 × 8253) / 7
LCM(8239,8253) = 67996467 / 7
LCM(8239,8253) = 9713781

Least Common Multiple (LCM) of 8239 and 8253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8239 and 8253. First we will calculate the prime factors of 8239 and 8253.

Prime Factorization of 8239

Prime Factorization of 8253

Now multiplying the highest exponent prime factors to calculate the LCM of 8239 and 8253.

LCM(8239,8253) = 7¹ × 11¹ × 107¹ × 3² × 131¹
LCM(8239,8253) = 9713781