What is the Least Common Multiple of 3256 and 3262?

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 3256 and 3262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3256 and 3262, than apply into the LCM equation.

GCF(3256,3262) = 2
LCM(3256,3262) = ( 3256 × 3262) / 2
LCM(3256,3262) = 10621072 / 2
LCM(3256,3262) = 5310536

Least Common Multiple (LCM) of 3256 and 3262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3256 and 3262. First we will calculate the prime factors of 3256 and 3262.

Prime Factorization of 3256

Prime Factorization of 3262

Now multiplying the highest exponent prime factors to calculate the LCM of 3256 and 3262.

LCM(3256,3262) = 2³ × 11¹ × 37¹ × 7¹ × 233¹
LCM(3256,3262) = 5310536