What is the Least Common Multiple of 22705 and 22712?

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 22705 and 22712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22705 and 22712, than apply into the LCM equation.

GCF(22705,22712) = 1
LCM(22705,22712) = ( 22705 × 22712) / 1
LCM(22705,22712) = 515675960 / 1
LCM(22705,22712) = 515675960

Least Common Multiple (LCM) of 22705 and 22712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22705 and 22712. First we will calculate the prime factors of 22705 and 22712.

Prime Factorization of 22705

Prime Factorization of 22712

Now multiplying the highest exponent prime factors to calculate the LCM of 22705 and 22712.

LCM(22705,22712) = 5¹ × 19¹ × 239¹ × 2³ × 17¹ × 167¹
LCM(22705,22712) = 515675960