What is the Least Common Multiple of 3255 and 3273?

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 3255 and 3273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3255 and 3273, than apply into the LCM equation.

GCF(3255,3273) = 3
LCM(3255,3273) = ( 3255 × 3273) / 3
LCM(3255,3273) = 10653615 / 3
LCM(3255,3273) = 3551205

Least Common Multiple (LCM) of 3255 and 3273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3255 and 3273. First we will calculate the prime factors of 3255 and 3273.

Prime Factorization of 3255

Prime Factorization of 3273

Now multiplying the highest exponent prime factors to calculate the LCM of 3255 and 3273.

LCM(3255,3273) = 3¹ × 5¹ × 7¹ × 31¹ × 1091¹
LCM(3255,3273) = 3551205