What is the Least Common Multiple of 17633 and 17647?

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 17633 and 17647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17633 and 17647, than apply into the LCM equation.

GCF(17633,17647) = 7
LCM(17633,17647) = ( 17633 × 17647) / 7
LCM(17633,17647) = 311169551 / 7
LCM(17633,17647) = 44452793

Least Common Multiple (LCM) of 17633 and 17647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17633 and 17647. First we will calculate the prime factors of 17633 and 17647.

Prime Factorization of 17633

Prime Factorization of 17647

Now multiplying the highest exponent prime factors to calculate the LCM of 17633 and 17647.

LCM(17633,17647) = 7¹ × 11¹ × 229¹ × 2521¹
LCM(17633,17647) = 44452793