What is the Least Common Multiple of 29274 and 29281?

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 29274 and 29281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29274 and 29281, than apply into the LCM equation.

GCF(29274,29281) = 7
LCM(29274,29281) = ( 29274 × 29281) / 7
LCM(29274,29281) = 857171994 / 7
LCM(29274,29281) = 122453142

Least Common Multiple (LCM) of 29274 and 29281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29274 and 29281. First we will calculate the prime factors of 29274 and 29281.

Prime Factorization of 29274

Prime Factorization of 29281

Now multiplying the highest exponent prime factors to calculate the LCM of 29274 and 29281.

LCM(29274,29281) = 2¹ × 3¹ × 7¹ × 17¹ × 41¹ × 47¹ × 89¹
LCM(29274,29281) = 122453142