What is the Least Common Multiple of 35264 and 35278?

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 35264 and 35278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35264 and 35278, than apply into the LCM equation.

GCF(35264,35278) = 2
LCM(35264,35278) = ( 35264 × 35278) / 2
LCM(35264,35278) = 1244043392 / 2
LCM(35264,35278) = 622021696

Least Common Multiple (LCM) of 35264 and 35278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35264 and 35278. First we will calculate the prime factors of 35264 and 35278.

Prime Factorization of 35264

Prime Factorization of 35278

Now multiplying the highest exponent prime factors to calculate the LCM of 35264 and 35278.

LCM(35264,35278) = 2⁶ × 19¹ × 29¹ × 31¹ × 569¹
LCM(35264,35278) = 622021696