What is the Least Common Multiple of 22305 and 22313?

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 22305 and 22313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22305 and 22313, than apply into the LCM equation.

GCF(22305,22313) = 1
LCM(22305,22313) = ( 22305 × 22313) / 1
LCM(22305,22313) = 497691465 / 1
LCM(22305,22313) = 497691465

Least Common Multiple (LCM) of 22305 and 22313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22305 and 22313. First we will calculate the prime factors of 22305 and 22313.

Prime Factorization of 22305

Prime Factorization of 22313

Now multiplying the highest exponent prime factors to calculate the LCM of 22305 and 22313.

LCM(22305,22313) = 3¹ × 5¹ × 1487¹ × 53¹ × 421¹
LCM(22305,22313) = 497691465