What is the Least Common Multiple of 1441 and 1448?

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 1441 and 1448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1441 and 1448, than apply into the LCM equation.

GCF(1441,1448) = 1
LCM(1441,1448) = ( 1441 × 1448) / 1
LCM(1441,1448) = 2086568 / 1
LCM(1441,1448) = 2086568

Least Common Multiple (LCM) of 1441 and 1448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1441 and 1448. First we will calculate the prime factors of 1441 and 1448.

Prime Factorization of 1441

Prime Factorization of 1448

Now multiplying the highest exponent prime factors to calculate the LCM of 1441 and 1448.

LCM(1441,1448) = 11¹ × 131¹ × 2³ × 181¹
LCM(1441,1448) = 2086568