What is the Least Common Multiple of 75504 and 75523?

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 75504 and 75523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75504 and 75523, than apply into the LCM equation.

GCF(75504,75523) = 1
LCM(75504,75523) = ( 75504 × 75523) / 1
LCM(75504,75523) = 5702288592 / 1
LCM(75504,75523) = 5702288592

Least Common Multiple (LCM) of 75504 and 75523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75504 and 75523. First we will calculate the prime factors of 75504 and 75523.

Prime Factorization of 75504

Prime Factorization of 75523

Now multiplying the highest exponent prime factors to calculate the LCM of 75504 and 75523.

LCM(75504,75523) = 2⁴ × 3¹ × 11² × 13¹ × 7¹ × 10789¹
LCM(75504,75523) = 5702288592