What is the Least Common Multiple of 33880 and 33884?

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 33880 and 33884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33880 and 33884, than apply into the LCM equation.

GCF(33880,33884) = 4
LCM(33880,33884) = ( 33880 × 33884) / 4
LCM(33880,33884) = 1147989920 / 4
LCM(33880,33884) = 286997480

Least Common Multiple (LCM) of 33880 and 33884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33880 and 33884. First we will calculate the prime factors of 33880 and 33884.

Prime Factorization of 33880

Prime Factorization of 33884

Now multiplying the highest exponent prime factors to calculate the LCM of 33880 and 33884.

LCM(33880,33884) = 2³ × 5¹ × 7¹ × 11² × 43¹ × 197¹
LCM(33880,33884) = 286997480