What is the Least Common Multiple of 33514 and 33520?

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 33514 and 33520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33514 and 33520, than apply into the LCM equation.

GCF(33514,33520) = 2
LCM(33514,33520) = ( 33514 × 33520) / 2
LCM(33514,33520) = 1123389280 / 2
LCM(33514,33520) = 561694640

Least Common Multiple (LCM) of 33514 and 33520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33514 and 33520. First we will calculate the prime factors of 33514 and 33520.

Prime Factorization of 33514

Prime Factorization of 33520

Now multiplying the highest exponent prime factors to calculate the LCM of 33514 and 33520.

LCM(33514,33520) = 2⁴ × 13¹ × 1289¹ × 5¹ × 419¹
LCM(33514,33520) = 561694640