What is the Least Common Multiple of 33140 and 33152?

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 33140 and 33152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33140 and 33152, than apply into the LCM equation.

GCF(33140,33152) = 4
LCM(33140,33152) = ( 33140 × 33152) / 4
LCM(33140,33152) = 1098657280 / 4
LCM(33140,33152) = 274664320

Least Common Multiple (LCM) of 33140 and 33152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33140 and 33152. First we will calculate the prime factors of 33140 and 33152.

Prime Factorization of 33140

Prime Factorization of 33152

Now multiplying the highest exponent prime factors to calculate the LCM of 33140 and 33152.

LCM(33140,33152) = 2⁷ × 5¹ × 1657¹ × 7¹ × 37¹
LCM(33140,33152) = 274664320