What is the Least Common Multiple of 7236 and 7249?

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 7236 and 7249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7236 and 7249, than apply into the LCM equation.

GCF(7236,7249) = 1
LCM(7236,7249) = ( 7236 × 7249) / 1
LCM(7236,7249) = 52453764 / 1
LCM(7236,7249) = 52453764

Least Common Multiple (LCM) of 7236 and 7249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7236 and 7249. First we will calculate the prime factors of 7236 and 7249.

Prime Factorization of 7236

Prime Factorization of 7249

Now multiplying the highest exponent prime factors to calculate the LCM of 7236 and 7249.

LCM(7236,7249) = 2² × 3³ × 67¹ × 11¹ × 659¹
LCM(7236,7249) = 52453764