What is the Least Common Multiple of 36363 and 36373?

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 36363 and 36373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36363 and 36373, than apply into the LCM equation.

GCF(36363,36373) = 1
LCM(36363,36373) = ( 36363 × 36373) / 1
LCM(36363,36373) = 1322631399 / 1
LCM(36363,36373) = 1322631399

Least Common Multiple (LCM) of 36363 and 36373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36363 and 36373. First we will calculate the prime factors of 36363 and 36373.

Prime Factorization of 36363

Prime Factorization of 36373

Now multiplying the highest exponent prime factors to calculate the LCM of 36363 and 36373.

LCM(36363,36373) = 3¹ × 17¹ × 23¹ × 31¹ × 36373¹
LCM(36363,36373) = 1322631399