GCF and LCM Calculator Logo

What is the Least Common Multiple of 37901 and 37911?

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 37901 and 37911 is 1436864811.

LCM(37901,37911) = 1436864811

LCM Calculator and
and

Least Common Multiple of 37901 and 37911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37901 and 37911, than apply into the LCM equation.

GCF(37901,37911) = 1
LCM(37901,37911) = ( 37901 × 37911) / 1
LCM(37901,37911) = 1436864811 / 1
LCM(37901,37911) = 1436864811

Least Common Multiple (LCM) of 37901 and 37911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37901 and 37911. First we will calculate the prime factors of 37901 and 37911.

Prime Factorization of 37901

Prime factors of 37901 are 151, 251. Prime factorization of 37901 in exponential form is:

37901 = 1511 × 2511

Prime Factorization of 37911

Prime factors of 37911 are 3, 12637. Prime factorization of 37911 in exponential form is:

37911 = 31 × 126371

Now multiplying the highest exponent prime factors to calculate the LCM of 37901 and 37911.

LCM(37901,37911) = 1511 × 2511 × 31 × 126371
LCM(37901,37911) = 1436864811