What is the Least Common Multiple of 36969 and 36981?

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 36969 and 36981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36969 and 36981, than apply into the LCM equation.

GCF(36969,36981) = 3
LCM(36969,36981) = ( 36969 × 36981) / 3
LCM(36969,36981) = 1367150589 / 3
LCM(36969,36981) = 455716863

Least Common Multiple (LCM) of 36969 and 36981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36969 and 36981. First we will calculate the prime factors of 36969 and 36981.

Prime Factorization of 36969

Prime Factorization of 36981

Now multiplying the highest exponent prime factors to calculate the LCM of 36969 and 36981.

LCM(36969,36981) = 3² × 12323¹ × 7¹ × 587¹
LCM(36969,36981) = 455716863