What is the Least Common Multiple of 33445 and 33455?

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 33445 and 33455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33445 and 33455, than apply into the LCM equation.

GCF(33445,33455) = 5
LCM(33445,33455) = ( 33445 × 33455) / 5
LCM(33445,33455) = 1118902475 / 5
LCM(33445,33455) = 223780495

Least Common Multiple (LCM) of 33445 and 33455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33445 and 33455. First we will calculate the prime factors of 33445 and 33455.

Prime Factorization of 33445

Prime Factorization of 33455

Now multiplying the highest exponent prime factors to calculate the LCM of 33445 and 33455.

LCM(33445,33455) = 5¹ × 6689¹ × 6691¹
LCM(33445,33455) = 223780495