What is the Least Common Multiple of 17638 and 17645?

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 17638 and 17645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17638 and 17645, than apply into the LCM equation.

GCF(17638,17645) = 1
LCM(17638,17645) = ( 17638 × 17645) / 1
LCM(17638,17645) = 311222510 / 1
LCM(17638,17645) = 311222510

Least Common Multiple (LCM) of 17638 and 17645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17638 and 17645. First we will calculate the prime factors of 17638 and 17645.

Prime Factorization of 17638

Prime Factorization of 17645

Now multiplying the highest exponent prime factors to calculate the LCM of 17638 and 17645.

LCM(17638,17645) = 2¹ × 8819¹ × 5¹ × 3529¹
LCM(17638,17645) = 311222510