What is the Least Common Multiple of 3270 and 3285?

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 3270 and 3285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3270 and 3285, than apply into the LCM equation.

GCF(3270,3285) = 15
LCM(3270,3285) = ( 3270 × 3285) / 15
LCM(3270,3285) = 10741950 / 15
LCM(3270,3285) = 716130

Least Common Multiple (LCM) of 3270 and 3285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3270 and 3285. First we will calculate the prime factors of 3270 and 3285.

Prime Factorization of 3270

Prime Factorization of 3285

Now multiplying the highest exponent prime factors to calculate the LCM of 3270 and 3285.

LCM(3270,3285) = 2¹ × 3² × 5¹ × 109¹ × 73¹
LCM(3270,3285) = 716130