What is the Least Common Multiple of 3576 and 3581?

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 3576 and 3581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3576 and 3581, than apply into the LCM equation.

GCF(3576,3581) = 1
LCM(3576,3581) = ( 3576 × 3581) / 1
LCM(3576,3581) = 12805656 / 1
LCM(3576,3581) = 12805656

Least Common Multiple (LCM) of 3576 and 3581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3576 and 3581. First we will calculate the prime factors of 3576 and 3581.

Prime Factorization of 3576

Prime Factorization of 3581

Now multiplying the highest exponent prime factors to calculate the LCM of 3576 and 3581.

LCM(3576,3581) = 2³ × 3¹ × 149¹ × 3581¹
LCM(3576,3581) = 12805656