What is the Least Common Multiple of 1548 and 1566?

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 1548 and 1566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1548 and 1566, than apply into the LCM equation.

GCF(1548,1566) = 18
LCM(1548,1566) = ( 1548 × 1566) / 18
LCM(1548,1566) = 2424168 / 18
LCM(1548,1566) = 134676

Least Common Multiple (LCM) of 1548 and 1566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1548 and 1566. First we will calculate the prime factors of 1548 and 1566.

Prime Factorization of 1548

Prime Factorization of 1566

Now multiplying the highest exponent prime factors to calculate the LCM of 1548 and 1566.

LCM(1548,1566) = 2² × 3³ × 43¹ × 29¹
LCM(1548,1566) = 134676