What is the Least Common Multiple of 22670 and 22685?

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 22670 and 22685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22670 and 22685, than apply into the LCM equation.

GCF(22670,22685) = 5
LCM(22670,22685) = ( 22670 × 22685) / 5
LCM(22670,22685) = 514268950 / 5
LCM(22670,22685) = 102853790

Least Common Multiple (LCM) of 22670 and 22685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22670 and 22685. First we will calculate the prime factors of 22670 and 22685.

Prime Factorization of 22670

Prime Factorization of 22685

Now multiplying the highest exponent prime factors to calculate the LCM of 22670 and 22685.

LCM(22670,22685) = 2¹ × 5¹ × 2267¹ × 13¹ × 349¹
LCM(22670,22685) = 102853790