What is the Least Common Multiple of 17641 and 17648?

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 17641 and 17648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17641 and 17648, than apply into the LCM equation.

GCF(17641,17648) = 1
LCM(17641,17648) = ( 17641 × 17648) / 1
LCM(17641,17648) = 311328368 / 1
LCM(17641,17648) = 311328368

Least Common Multiple (LCM) of 17641 and 17648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17641 and 17648. First we will calculate the prime factors of 17641 and 17648.

Prime Factorization of 17641

Prime Factorization of 17648

Now multiplying the highest exponent prime factors to calculate the LCM of 17641 and 17648.

LCM(17641,17648) = 13¹ × 23¹ × 59¹ × 2⁴ × 1103¹
LCM(17641,17648) = 311328368