What is the Least Common Multiple of 36645 and 36654?

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 36645 and 36654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36645 and 36654, than apply into the LCM equation.

GCF(36645,36654) = 3
LCM(36645,36654) = ( 36645 × 36654) / 3
LCM(36645,36654) = 1343185830 / 3
LCM(36645,36654) = 447728610

Least Common Multiple (LCM) of 36645 and 36654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36645 and 36654. First we will calculate the prime factors of 36645 and 36654.

Prime Factorization of 36645

Prime Factorization of 36654

Now multiplying the highest exponent prime factors to calculate the LCM of 36645 and 36654.

LCM(36645,36654) = 3¹ × 5¹ × 7¹ × 349¹ × 2¹ × 41¹ × 149¹
LCM(36645,36654) = 447728610