What is the Least Common Multiple of 1448 and 1453?

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 1448 and 1453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1448 and 1453, than apply into the LCM equation.

GCF(1448,1453) = 1
LCM(1448,1453) = ( 1448 × 1453) / 1
LCM(1448,1453) = 2103944 / 1
LCM(1448,1453) = 2103944

Least Common Multiple (LCM) of 1448 and 1453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1448 and 1453. First we will calculate the prime factors of 1448 and 1453.

Prime Factorization of 1448

Prime Factorization of 1453

Now multiplying the highest exponent prime factors to calculate the LCM of 1448 and 1453.

LCM(1448,1453) = 2³ × 181¹ × 1453¹
LCM(1448,1453) = 2103944