What is the Least Common Multiple of 3546 and 3558?

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 3546 and 3558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3546 and 3558, than apply into the LCM equation.

GCF(3546,3558) = 6
LCM(3546,3558) = ( 3546 × 3558) / 6
LCM(3546,3558) = 12616668 / 6
LCM(3546,3558) = 2102778

Least Common Multiple (LCM) of 3546 and 3558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3546 and 3558. First we will calculate the prime factors of 3546 and 3558.

Prime Factorization of 3546

Prime Factorization of 3558

Now multiplying the highest exponent prime factors to calculate the LCM of 3546 and 3558.

LCM(3546,3558) = 2¹ × 3² × 197¹ × 593¹
LCM(3546,3558) = 2102778