What is the Least Common Multiple of 22718 and 22729?

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 22718 and 22729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22718 and 22729, than apply into the LCM equation.

GCF(22718,22729) = 1
LCM(22718,22729) = ( 22718 × 22729) / 1
LCM(22718,22729) = 516357422 / 1
LCM(22718,22729) = 516357422

Least Common Multiple (LCM) of 22718 and 22729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22718 and 22729. First we will calculate the prime factors of 22718 and 22729.

Prime Factorization of 22718

Prime Factorization of 22729

Now multiplying the highest exponent prime factors to calculate the LCM of 22718 and 22729.

LCM(22718,22729) = 2¹ × 37¹ × 307¹ × 7¹ × 17¹ × 191¹
LCM(22718,22729) = 516357422