What is the Least Common Multiple of 33140 and 33145?

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 33145 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 33145, than apply into the LCM equation.

GCF(33140,33145) = 5
LCM(33140,33145) = ( 33140 × 33145) / 5
LCM(33140,33145) = 1098425300 / 5
LCM(33140,33145) = 219685060

Least Common Multiple (LCM) of 33140 and 33145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33140 and 33145. First we will calculate the prime factors of 33140 and 33145.

Prime Factorization of 33140

Prime Factorization of 33145

Now multiplying the highest exponent prime factors to calculate the LCM of 33140 and 33145.

LCM(33140,33145) = 2² × 5¹ × 1657¹ × 7¹ × 947¹
LCM(33140,33145) = 219685060