What is the Least Common Multiple of 29240 and 29260?

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 29240 and 29260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29240 and 29260, than apply into the LCM equation.

GCF(29240,29260) = 20
LCM(29240,29260) = ( 29240 × 29260) / 20
LCM(29240,29260) = 855562400 / 20
LCM(29240,29260) = 42778120

Least Common Multiple (LCM) of 29240 and 29260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29240 and 29260. First we will calculate the prime factors of 29240 and 29260.

Prime Factorization of 29240

Prime Factorization of 29260

Now multiplying the highest exponent prime factors to calculate the LCM of 29240 and 29260.

LCM(29240,29260) = 2³ × 5¹ × 17¹ × 43¹ × 7¹ × 11¹ × 19¹
LCM(29240,29260) = 42778120