What is the Least Common Multiple of 30645 and 30654?

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 30645 and 30654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30645 and 30654, than apply into the LCM equation.

GCF(30645,30654) = 9
LCM(30645,30654) = ( 30645 × 30654) / 9
LCM(30645,30654) = 939391830 / 9
LCM(30645,30654) = 104376870

Least Common Multiple (LCM) of 30645 and 30654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30645 and 30654. First we will calculate the prime factors of 30645 and 30654.

Prime Factorization of 30645

Prime Factorization of 30654

Now multiplying the highest exponent prime factors to calculate the LCM of 30645 and 30654.

LCM(30645,30654) = 3³ × 5¹ × 227¹ × 2¹ × 13¹ × 131¹
LCM(30645,30654) = 104376870