What is the Least Common Multiple of 83264 and 83278?

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 83264 and 83278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83264 and 83278, than apply into the LCM equation.

GCF(83264,83278) = 2
LCM(83264,83278) = ( 83264 × 83278) / 2
LCM(83264,83278) = 6934059392 / 2
LCM(83264,83278) = 3467029696

Least Common Multiple (LCM) of 83264 and 83278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83264 and 83278. First we will calculate the prime factors of 83264 and 83278.

Prime Factorization of 83264

Prime Factorization of 83278

Now multiplying the highest exponent prime factors to calculate the LCM of 83264 and 83278.

LCM(83264,83278) = 2⁶ × 1301¹ × 13¹ × 3203¹
LCM(83264,83278) = 3467029696