What is the Least Common Multiple of 35288 and 35305?

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 35288 and 35305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35288 and 35305, than apply into the LCM equation.

GCF(35288,35305) = 1
LCM(35288,35305) = ( 35288 × 35305) / 1
LCM(35288,35305) = 1245842840 / 1
LCM(35288,35305) = 1245842840

Least Common Multiple (LCM) of 35288 and 35305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35288 and 35305. First we will calculate the prime factors of 35288 and 35305.

Prime Factorization of 35288

Prime Factorization of 35305

Now multiplying the highest exponent prime factors to calculate the LCM of 35288 and 35305.

LCM(35288,35305) = 2³ × 11¹ × 401¹ × 5¹ × 23¹ × 307¹
LCM(35288,35305) = 1245842840