What is the Least Common Multiple of 1474 and 1489?

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 1474 and 1489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1474 and 1489, than apply into the LCM equation.

GCF(1474,1489) = 1
LCM(1474,1489) = ( 1474 × 1489) / 1
LCM(1474,1489) = 2194786 / 1
LCM(1474,1489) = 2194786

Least Common Multiple (LCM) of 1474 and 1489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1474 and 1489. First we will calculate the prime factors of 1474 and 1489.

Prime Factorization of 1474

Prime Factorization of 1489

Now multiplying the highest exponent prime factors to calculate the LCM of 1474 and 1489.

LCM(1474,1489) = 2¹ × 11¹ × 67¹ × 1489¹
LCM(1474,1489) = 2194786