What is the Least Common Multiple of 1456 and 1462?

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 1462 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 1462, than apply into the LCM equation.

GCF(1456,1462) = 2
LCM(1456,1462) = ( 1456 × 1462) / 2
LCM(1456,1462) = 2128672 / 2
LCM(1456,1462) = 1064336

Least Common Multiple (LCM) of 1456 and 1462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1456 and 1462. First we will calculate the prime factors of 1456 and 1462.

Prime Factorization of 1456

Prime Factorization of 1462

Now multiplying the highest exponent prime factors to calculate the LCM of 1456 and 1462.

LCM(1456,1462) = 2⁴ × 7¹ × 13¹ × 17¹ × 43¹
LCM(1456,1462) = 1064336