What is the Least Common Multiple of 33278 and 33285?

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 33278 and 33285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33278 and 33285, than apply into the LCM equation.

GCF(33278,33285) = 7
LCM(33278,33285) = ( 33278 × 33285) / 7
LCM(33278,33285) = 1107658230 / 7
LCM(33278,33285) = 158236890

Least Common Multiple (LCM) of 33278 and 33285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33278 and 33285. First we will calculate the prime factors of 33278 and 33285.

Prime Factorization of 33278

Prime Factorization of 33285

Now multiplying the highest exponent prime factors to calculate the LCM of 33278 and 33285.

LCM(33278,33285) = 2¹ × 7¹ × 2377¹ × 3¹ × 5¹ × 317¹
LCM(33278,33285) = 158236890