What is the Least Common Multiple of 7256 and 7269?

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 7256 and 7269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7256 and 7269, than apply into the LCM equation.

GCF(7256,7269) = 1
LCM(7256,7269) = ( 7256 × 7269) / 1
LCM(7256,7269) = 52743864 / 1
LCM(7256,7269) = 52743864

Least Common Multiple (LCM) of 7256 and 7269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7256 and 7269. First we will calculate the prime factors of 7256 and 7269.

Prime Factorization of 7256

Prime Factorization of 7269

Now multiplying the highest exponent prime factors to calculate the LCM of 7256 and 7269.

LCM(7256,7269) = 2³ × 907¹ × 3¹ × 2423¹
LCM(7256,7269) = 52743864