What is the Least Common Multiple of 93504 and 93510?

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 93504 and 93510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93504 and 93510, than apply into the LCM equation.

GCF(93504,93510) = 6
LCM(93504,93510) = ( 93504 × 93510) / 6
LCM(93504,93510) = 8743559040 / 6
LCM(93504,93510) = 1457259840

Least Common Multiple (LCM) of 93504 and 93510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93504 and 93510. First we will calculate the prime factors of 93504 and 93510.

Prime Factorization of 93504

Prime Factorization of 93510

Now multiplying the highest exponent prime factors to calculate the LCM of 93504 and 93510.

LCM(93504,93510) = 2⁶ × 3² × 487¹ × 5¹ × 1039¹
LCM(93504,93510) = 1457259840