What is the Least Common Multiple of 29296 and 29305?

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 29296 and 29305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29296 and 29305, than apply into the LCM equation.

GCF(29296,29305) = 1
LCM(29296,29305) = ( 29296 × 29305) / 1
LCM(29296,29305) = 858519280 / 1
LCM(29296,29305) = 858519280

Least Common Multiple (LCM) of 29296 and 29305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29296 and 29305. First we will calculate the prime factors of 29296 and 29305.

Prime Factorization of 29296

Prime Factorization of 29305

Now multiplying the highest exponent prime factors to calculate the LCM of 29296 and 29305.

LCM(29296,29305) = 2⁴ × 1831¹ × 5¹ × 5861¹
LCM(29296,29305) = 858519280