What is the Least Common Multiple of 3546 and 3565?

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 3565 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 3565, than apply into the LCM equation.

GCF(3546,3565) = 1
LCM(3546,3565) = ( 3546 × 3565) / 1
LCM(3546,3565) = 12641490 / 1
LCM(3546,3565) = 12641490

Least Common Multiple (LCM) of 3546 and 3565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3546 and 3565. First we will calculate the prime factors of 3546 and 3565.

Prime Factorization of 3546

Prime Factorization of 3565

Now multiplying the highest exponent prime factors to calculate the LCM of 3546 and 3565.

LCM(3546,3565) = 2¹ × 3² × 197¹ × 5¹ × 23¹ × 31¹
LCM(3546,3565) = 12641490