What is the Least Common Multiple of 3540 and 3546?

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 3540 and 3546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3540 and 3546, than apply into the LCM equation.

GCF(3540,3546) = 6
LCM(3540,3546) = ( 3540 × 3546) / 6
LCM(3540,3546) = 12552840 / 6
LCM(3540,3546) = 2092140

Least Common Multiple (LCM) of 3540 and 3546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3540 and 3546. First we will calculate the prime factors of 3540 and 3546.

Prime Factorization of 3540

Prime Factorization of 3546

Now multiplying the highest exponent prime factors to calculate the LCM of 3540 and 3546.

LCM(3540,3546) = 2² × 3² × 5¹ × 59¹ × 197¹
LCM(3540,3546) = 2092140