What is the Least Common Multiple of 17634 and 17649?

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 17634 and 17649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17634 and 17649, than apply into the LCM equation.

GCF(17634,17649) = 3
LCM(17634,17649) = ( 17634 × 17649) / 3
LCM(17634,17649) = 311222466 / 3
LCM(17634,17649) = 103740822

Least Common Multiple (LCM) of 17634 and 17649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17634 and 17649. First we will calculate the prime factors of 17634 and 17649.

Prime Factorization of 17634

Prime Factorization of 17649

Now multiplying the highest exponent prime factors to calculate the LCM of 17634 and 17649.

LCM(17634,17649) = 2¹ × 3² × 2939¹ × 37¹ × 53¹
LCM(17634,17649) = 103740822