What is the Least Common Multiple of 3264 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 of 3264 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 3264 and 3278, than apply into the LCM equation.

GCF(3264,3278) = 2
LCM(3264,3278) = ( 3264 × 3278) / 2
LCM(3264,3278) = 10699392 / 2
LCM(3264,3278) = 5349696

Least Common Multiple (LCM) of 3264 and 3278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3264 and 3278. First we will calculate the prime factors of 3264 and 3278.

Prime Factorization of 3264

Prime Factorization of 3278

Now multiplying the highest exponent prime factors to calculate the LCM of 3264 and 3278.

LCM(3264,3278) = 2⁶ × 3¹ × 17¹ × 11¹ × 149¹
LCM(3264,3278) = 5349696