What is the Least Common Multiple of 1448 and 1468?

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 1468 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 1468, than apply into the LCM equation.

GCF(1448,1468) = 4
LCM(1448,1468) = ( 1448 × 1468) / 4
LCM(1448,1468) = 2125664 / 4
LCM(1448,1468) = 531416

Least Common Multiple (LCM) of 1448 and 1468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1448 and 1468. First we will calculate the prime factors of 1448 and 1468.

Prime Factorization of 1448

Prime Factorization of 1468

Now multiplying the highest exponent prime factors to calculate the LCM of 1448 and 1468.

LCM(1448,1468) = 2³ × 181¹ × 367¹
LCM(1448,1468) = 531416