GCF and LCM Calculator Logo

What is the Least Common Multiple of 36903 and 36911?

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 (LCM) of 36903 and 36911 is 1362126633.

LCM(36903,36911) = 1362126633

LCM Calculator and
and

Least Common Multiple of 36903 and 36911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36903 and 36911, than apply into the LCM equation.

GCF(36903,36911) = 1
LCM(36903,36911) = ( 36903 × 36911) / 1
LCM(36903,36911) = 1362126633 / 1
LCM(36903,36911) = 1362126633

Least Common Multiple (LCM) of 36903 and 36911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36903 and 36911. First we will calculate the prime factors of 36903 and 36911.

Prime Factorization of 36903

Prime factors of 36903 are 3, 12301. Prime factorization of 36903 in exponential form is:

36903 = 31 × 123011

Prime Factorization of 36911

Prime factors of 36911 are 7, 5273. Prime factorization of 36911 in exponential form is:

36911 = 71 × 52731

Now multiplying the highest exponent prime factors to calculate the LCM of 36903 and 36911.

LCM(36903,36911) = 31 × 123011 × 71 × 52731
LCM(36903,36911) = 1362126633