What is the Least Common Multiple of 33674 and 33680?

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 33674 and 33680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33674 and 33680, than apply into the LCM equation.

GCF(33674,33680) = 2
LCM(33674,33680) = ( 33674 × 33680) / 2
LCM(33674,33680) = 1134140320 / 2
LCM(33674,33680) = 567070160

Least Common Multiple (LCM) of 33674 and 33680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33674 and 33680. First we will calculate the prime factors of 33674 and 33680.

Prime Factorization of 33674

Prime Factorization of 33680

Now multiplying the highest exponent prime factors to calculate the LCM of 33674 and 33680.

LCM(33674,33680) = 2⁴ × 113¹ × 149¹ × 5¹ × 421¹
LCM(33674,33680) = 567070160