What is the Least Common Multiple of 1549 and 1569?

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 1549 and 1569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1549 and 1569, than apply into the LCM equation.

GCF(1549,1569) = 1
LCM(1549,1569) = ( 1549 × 1569) / 1
LCM(1549,1569) = 2430381 / 1
LCM(1549,1569) = 2430381

Least Common Multiple (LCM) of 1549 and 1569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1549 and 1569. First we will calculate the prime factors of 1549 and 1569.

Prime Factorization of 1549

Prime Factorization of 1569

Now multiplying the highest exponent prime factors to calculate the LCM of 1549 and 1569.

LCM(1549,1569) = 1549¹ × 3¹ × 523¹
LCM(1549,1569) = 2430381