What is the Least Common Multiple of 3520 and 3533?

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 3520 and 3533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3520 and 3533, than apply into the LCM equation.

GCF(3520,3533) = 1
LCM(3520,3533) = ( 3520 × 3533) / 1
LCM(3520,3533) = 12436160 / 1
LCM(3520,3533) = 12436160

Least Common Multiple (LCM) of 3520 and 3533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3520 and 3533. First we will calculate the prime factors of 3520 and 3533.

Prime Factorization of 3520

Prime Factorization of 3533

Now multiplying the highest exponent prime factors to calculate the LCM of 3520 and 3533.

LCM(3520,3533) = 2⁶ × 5¹ × 11¹ × 3533¹
LCM(3520,3533) = 12436160