GCF and LCM Calculator Logo

What is the Least Common Multiple of 3262 and 3278?

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 (LCM) of 3262 and 3278 is 5346418.

LCM(3262,3278) = 5346418

LCM Calculator and
and

Least Common Multiple of 3262 and 3278 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 3278, than apply into the LCM equation.

GCF(3262,3278) = 2
LCM(3262,3278) = ( 3262 × 3278) / 2
LCM(3262,3278) = 10692836 / 2
LCM(3262,3278) = 5346418

Least Common Multiple (LCM) of 3262 and 3278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3262 and 3278. First we will calculate the prime factors of 3262 and 3278.

Prime Factorization of 3262

Prime factors of 3262 are 2, 7, 233. Prime factorization of 3262 in exponential form is:

3262 = 21 × 71 × 2331

Prime Factorization of 3278

Prime factors of 3278 are 2, 11, 149. Prime factorization of 3278 in exponential form is:

3278 = 21 × 111 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 3262 and 3278.

LCM(3262,3278) = 21 × 71 × 2331 × 111 × 1491
LCM(3262,3278) = 5346418