What is the Least Common Multiple of 33860 and 33880?

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 33860 and 33880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33860 and 33880, than apply into the LCM equation.

GCF(33860,33880) = 20
LCM(33860,33880) = ( 33860 × 33880) / 20
LCM(33860,33880) = 1147176800 / 20
LCM(33860,33880) = 57358840

Least Common Multiple (LCM) of 33860 and 33880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33860 and 33880. First we will calculate the prime factors of 33860 and 33880.

Prime Factorization of 33860

Prime Factorization of 33880

Now multiplying the highest exponent prime factors to calculate the LCM of 33860 and 33880.

LCM(33860,33880) = 2³ × 5¹ × 1693¹ × 7¹ × 11²
LCM(33860,33880) = 57358840