What is the Least Common Multiple of 36839 and 36853?

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 36839 and 36853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36839 and 36853, than apply into the LCM equation.

GCF(36839,36853) = 1
LCM(36839,36853) = ( 36839 × 36853) / 1
LCM(36839,36853) = 1357627667 / 1
LCM(36839,36853) = 1357627667

Least Common Multiple (LCM) of 36839 and 36853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36839 and 36853. First we will calculate the prime factors of 36839 and 36853.

Prime Factorization of 36839

Prime Factorization of 36853

Now multiplying the highest exponent prime factors to calculate the LCM of 36839 and 36853.

LCM(36839,36853) = 11¹ × 17¹ × 197¹ × 137¹ × 269¹
LCM(36839,36853) = 1357627667