What is the Least Common Multiple of 3262 and 3282?

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 3262 and 3282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3262 and 3282, than apply into the LCM equation.

GCF(3262,3282) = 2
LCM(3262,3282) = ( 3262 × 3282) / 2
LCM(3262,3282) = 10705884 / 2
LCM(3262,3282) = 5352942

Least Common Multiple (LCM) of 3262 and 3282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3262 and 3282. First we will calculate the prime factors of 3262 and 3282.

Prime Factorization of 3262

Prime Factorization of 3282

Now multiplying the highest exponent prime factors to calculate the LCM of 3262 and 3282.

LCM(3262,3282) = 2¹ × 7¹ × 233¹ × 3¹ × 547¹
LCM(3262,3282) = 5352942