What is the Least Common Multiple of 35282 and 35293?

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 35282 and 35293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35282 and 35293, than apply into the LCM equation.

GCF(35282,35293) = 1
LCM(35282,35293) = ( 35282 × 35293) / 1
LCM(35282,35293) = 1245207626 / 1
LCM(35282,35293) = 1245207626

Least Common Multiple (LCM) of 35282 and 35293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35282 and 35293. First we will calculate the prime factors of 35282 and 35293.

Prime Factorization of 35282

Prime Factorization of 35293

Now multiplying the highest exponent prime factors to calculate the LCM of 35282 and 35293.

LCM(35282,35293) = 2¹ × 13¹ × 23¹ × 59¹ × 29¹ × 1217¹
LCM(35282,35293) = 1245207626