What is the Least Common Multiple of 59523 and 59540?

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 59523 and 59540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59523 and 59540, than apply into the LCM equation.

GCF(59523,59540) = 1
LCM(59523,59540) = ( 59523 × 59540) / 1
LCM(59523,59540) = 3543999420 / 1
LCM(59523,59540) = 3543999420

Least Common Multiple (LCM) of 59523 and 59540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59523 and 59540. First we will calculate the prime factors of 59523 and 59540.

Prime Factorization of 59523

Prime Factorization of 59540

Now multiplying the highest exponent prime factors to calculate the LCM of 59523 and 59540.

LCM(59523,59540) = 3¹ × 19841¹ × 2² × 5¹ × 13¹ × 229¹
LCM(59523,59540) = 3543999420