What is the Least Common Multiple of 38921 and 38936?

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 38921 and 38936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38921 and 38936, than apply into the LCM equation.

GCF(38921,38936) = 1
LCM(38921,38936) = ( 38921 × 38936) / 1
LCM(38921,38936) = 1515428056 / 1
LCM(38921,38936) = 1515428056

Least Common Multiple (LCM) of 38921 and 38936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38921 and 38936. First we will calculate the prime factors of 38921 and 38936.

Prime Factorization of 38921

Prime Factorization of 38936

Now multiplying the highest exponent prime factors to calculate the LCM of 38921 and 38936.

LCM(38921,38936) = 38921¹ × 2³ × 31¹ × 157¹
LCM(38921,38936) = 1515428056