What is the Least Common Multiple of 59504 and 59523?

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 59504 and 59523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59504 and 59523, than apply into the LCM equation.

GCF(59504,59523) = 1
LCM(59504,59523) = ( 59504 × 59523) / 1
LCM(59504,59523) = 3541856592 / 1
LCM(59504,59523) = 3541856592

Least Common Multiple (LCM) of 59504 and 59523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59504 and 59523. First we will calculate the prime factors of 59504 and 59523.

Prime Factorization of 59504

Prime Factorization of 59523

Now multiplying the highest exponent prime factors to calculate the LCM of 59504 and 59523.

LCM(59504,59523) = 2⁴ × 3719¹ × 3¹ × 19841¹
LCM(59504,59523) = 3541856592