What is the Least Common Multiple of 1438 and 1458?

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 1438 and 1458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1438 and 1458, than apply into the LCM equation.

GCF(1438,1458) = 2
LCM(1438,1458) = ( 1438 × 1458) / 2
LCM(1438,1458) = 2096604 / 2
LCM(1438,1458) = 1048302

Least Common Multiple (LCM) of 1438 and 1458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1438 and 1458. First we will calculate the prime factors of 1438 and 1458.

Prime Factorization of 1438

Prime Factorization of 1458

Now multiplying the highest exponent prime factors to calculate the LCM of 1438 and 1458.

LCM(1438,1458) = 2¹ × 719¹ × 3⁶
LCM(1438,1458) = 1048302