What is the Least Common Multiple of 19448 and 19465?

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 19448 and 19465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19448 and 19465, than apply into the LCM equation.

GCF(19448,19465) = 17
LCM(19448,19465) = ( 19448 × 19465) / 17
LCM(19448,19465) = 378555320 / 17
LCM(19448,19465) = 22267960

Least Common Multiple (LCM) of 19448 and 19465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19448 and 19465. First we will calculate the prime factors of 19448 and 19465.

Prime Factorization of 19448

Prime Factorization of 19465

Now multiplying the highest exponent prime factors to calculate the LCM of 19448 and 19465.

LCM(19448,19465) = 2³ × 11¹ × 13¹ × 17¹ × 5¹ × 229¹
LCM(19448,19465) = 22267960