What is the Least Common Multiple of 33490 and 33506?

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 33490 and 33506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33490 and 33506, than apply into the LCM equation.

GCF(33490,33506) = 2
LCM(33490,33506) = ( 33490 × 33506) / 2
LCM(33490,33506) = 1122115940 / 2
LCM(33490,33506) = 561057970

Least Common Multiple (LCM) of 33490 and 33506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33490 and 33506. First we will calculate the prime factors of 33490 and 33506.

Prime Factorization of 33490

Prime Factorization of 33506

Now multiplying the highest exponent prime factors to calculate the LCM of 33490 and 33506.

LCM(33490,33506) = 2¹ × 5¹ × 17¹ × 197¹ × 11¹ × 1523¹
LCM(33490,33506) = 561057970