What is the Least Common Multiple of 23504 and 23510?

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 23504 and 23510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23504 and 23510, than apply into the LCM equation.

GCF(23504,23510) = 2
LCM(23504,23510) = ( 23504 × 23510) / 2
LCM(23504,23510) = 552579040 / 2
LCM(23504,23510) = 276289520

Least Common Multiple (LCM) of 23504 and 23510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23504 and 23510. First we will calculate the prime factors of 23504 and 23510.

Prime Factorization of 23504

Prime Factorization of 23510

Now multiplying the highest exponent prime factors to calculate the LCM of 23504 and 23510.

LCM(23504,23510) = 2⁴ × 13¹ × 113¹ × 5¹ × 2351¹
LCM(23504,23510) = 276289520