What is the Least Common Multiple of 29236 and 29249?

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 29236 and 29249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29236 and 29249, than apply into the LCM equation.

GCF(29236,29249) = 1
LCM(29236,29249) = ( 29236 × 29249) / 1
LCM(29236,29249) = 855123764 / 1
LCM(29236,29249) = 855123764

Least Common Multiple (LCM) of 29236 and 29249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29236 and 29249. First we will calculate the prime factors of 29236 and 29249.

Prime Factorization of 29236

Prime Factorization of 29249

Now multiplying the highest exponent prime factors to calculate the LCM of 29236 and 29249.

LCM(29236,29249) = 2² × 7309¹ × 11¹ × 2659¹
LCM(29236,29249) = 855123764