What is the Least Common Multiple of 35305 and 35320?

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 35305 and 35320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35305 and 35320, than apply into the LCM equation.

GCF(35305,35320) = 5
LCM(35305,35320) = ( 35305 × 35320) / 5
LCM(35305,35320) = 1246972600 / 5
LCM(35305,35320) = 249394520

Least Common Multiple (LCM) of 35305 and 35320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35305 and 35320. First we will calculate the prime factors of 35305 and 35320.

Prime Factorization of 35305

Prime Factorization of 35320

Now multiplying the highest exponent prime factors to calculate the LCM of 35305 and 35320.

LCM(35305,35320) = 5¹ × 23¹ × 307¹ × 2³ × 883¹
LCM(35305,35320) = 249394520