What is the Least Common Multiple of 35269 and 35285?

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 35269 and 35285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35269 and 35285, than apply into the LCM equation.

GCF(35269,35285) = 1
LCM(35269,35285) = ( 35269 × 35285) / 1
LCM(35269,35285) = 1244466665 / 1
LCM(35269,35285) = 1244466665

Least Common Multiple (LCM) of 35269 and 35285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35269 and 35285. First we will calculate the prime factors of 35269 and 35285.

Prime Factorization of 35269

Prime Factorization of 35285

Now multiplying the highest exponent prime factors to calculate the LCM of 35269 and 35285.

LCM(35269,35285) = 13¹ × 2713¹ × 5¹ × 7057¹
LCM(35269,35285) = 1244466665