What is the Least Common Multiple of 35937 and 35948?

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 35937 and 35948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35937 and 35948, than apply into the LCM equation.

GCF(35937,35948) = 11
LCM(35937,35948) = ( 35937 × 35948) / 11
LCM(35937,35948) = 1291863276 / 11
LCM(35937,35948) = 117442116

Least Common Multiple (LCM) of 35937 and 35948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35937 and 35948. First we will calculate the prime factors of 35937 and 35948.

Prime Factorization of 35937

Prime Factorization of 35948

Now multiplying the highest exponent prime factors to calculate the LCM of 35937 and 35948.

LCM(35937,35948) = 3³ × 11³ × 2² × 19¹ × 43¹
LCM(35937,35948) = 117442116