What is the Least Common Multiple of 36627 and 36636?

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 36627 and 36636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36627 and 36636, than apply into the LCM equation.

GCF(36627,36636) = 3
LCM(36627,36636) = ( 36627 × 36636) / 3
LCM(36627,36636) = 1341866772 / 3
LCM(36627,36636) = 447288924

Least Common Multiple (LCM) of 36627 and 36636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36627 and 36636. First we will calculate the prime factors of 36627 and 36636.

Prime Factorization of 36627

Prime Factorization of 36636

Now multiplying the highest exponent prime factors to calculate the LCM of 36627 and 36636.

LCM(36627,36636) = 3¹ × 29¹ × 421¹ × 2² × 43¹ × 71¹
LCM(36627,36636) = 447288924