What is the Least Common Multiple of 33465 and 33470?

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 33465 and 33470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33465 and 33470, than apply into the LCM equation.

GCF(33465,33470) = 5
LCM(33465,33470) = ( 33465 × 33470) / 5
LCM(33465,33470) = 1120073550 / 5
LCM(33465,33470) = 224014710

Least Common Multiple (LCM) of 33465 and 33470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33465 and 33470. First we will calculate the prime factors of 33465 and 33470.

Prime Factorization of 33465

Prime Factorization of 33470

Now multiplying the highest exponent prime factors to calculate the LCM of 33465 and 33470.

LCM(33465,33470) = 3¹ × 5¹ × 23¹ × 97¹ × 2¹ × 3347¹
LCM(33465,33470) = 224014710