What is the Least Common Multiple of 29280 and 29288?

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 29280 and 29288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29280 and 29288, than apply into the LCM equation.

GCF(29280,29288) = 8
LCM(29280,29288) = ( 29280 × 29288) / 8
LCM(29280,29288) = 857552640 / 8
LCM(29280,29288) = 107194080

Least Common Multiple (LCM) of 29280 and 29288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29280 and 29288. First we will calculate the prime factors of 29280 and 29288.

Prime Factorization of 29280

Prime Factorization of 29288

Now multiplying the highest exponent prime factors to calculate the LCM of 29280 and 29288.

LCM(29280,29288) = 2⁵ × 3¹ × 5¹ × 61¹ × 7¹ × 523¹
LCM(29280,29288) = 107194080