What is the Least Common Multiple of 1456 and 1464?

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 1456 and 1464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1456 and 1464, than apply into the LCM equation.

GCF(1456,1464) = 8
LCM(1456,1464) = ( 1456 × 1464) / 8
LCM(1456,1464) = 2131584 / 8
LCM(1456,1464) = 266448

Least Common Multiple (LCM) of 1456 and 1464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1456 and 1464. First we will calculate the prime factors of 1456 and 1464.

Prime Factorization of 1456

Prime Factorization of 1464

Now multiplying the highest exponent prime factors to calculate the LCM of 1456 and 1464.

LCM(1456,1464) = 2⁴ × 7¹ × 13¹ × 3¹ × 61¹
LCM(1456,1464) = 266448