What is the Least Common Multiple of 23296 and 23305?

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 23296 and 23305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23296 and 23305, than apply into the LCM equation.

GCF(23296,23305) = 1
LCM(23296,23305) = ( 23296 × 23305) / 1
LCM(23296,23305) = 542913280 / 1
LCM(23296,23305) = 542913280

Least Common Multiple (LCM) of 23296 and 23305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23296 and 23305. First we will calculate the prime factors of 23296 and 23305.

Prime Factorization of 23296

Prime Factorization of 23305

Now multiplying the highest exponent prime factors to calculate the LCM of 23296 and 23305.

LCM(23296,23305) = 2⁸ × 7¹ × 13¹ × 5¹ × 59¹ × 79¹
LCM(23296,23305) = 542913280