What is the Least Common Multiple of 33345 and 33355?

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 33345 and 33355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33345 and 33355, than apply into the LCM equation.

GCF(33345,33355) = 5
LCM(33345,33355) = ( 33345 × 33355) / 5
LCM(33345,33355) = 1112222475 / 5
LCM(33345,33355) = 222444495

Least Common Multiple (LCM) of 33345 and 33355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33345 and 33355. First we will calculate the prime factors of 33345 and 33355.

Prime Factorization of 33345

Prime Factorization of 33355

Now multiplying the highest exponent prime factors to calculate the LCM of 33345 and 33355.

LCM(33345,33355) = 3³ × 5¹ × 13¹ × 19¹ × 7¹ × 953¹
LCM(33345,33355) = 222444495