What is the Least Common Multiple of 36693 and 36697?

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 36693 and 36697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36693 and 36697, than apply into the LCM equation.

GCF(36693,36697) = 1
LCM(36693,36697) = ( 36693 × 36697) / 1
LCM(36693,36697) = 1346523021 / 1
LCM(36693,36697) = 1346523021

Least Common Multiple (LCM) of 36693 and 36697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36693 and 36697. First we will calculate the prime factors of 36693 and 36697.

Prime Factorization of 36693

Prime Factorization of 36697

Now multiplying the highest exponent prime factors to calculate the LCM of 36693 and 36697.

LCM(36693,36697) = 3⁵ × 151¹ × 36697¹
LCM(36693,36697) = 1346523021