What is the Least Common Multiple of 88523 and 88540?

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 88523 and 88540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88523 and 88540, than apply into the LCM equation.

GCF(88523,88540) = 1
LCM(88523,88540) = ( 88523 × 88540) / 1
LCM(88523,88540) = 7837826420 / 1
LCM(88523,88540) = 7837826420

Least Common Multiple (LCM) of 88523 and 88540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88523 and 88540. First we will calculate the prime factors of 88523 and 88540.

Prime Factorization of 88523

Prime Factorization of 88540

Now multiplying the highest exponent prime factors to calculate the LCM of 88523 and 88540.

LCM(88523,88540) = 88523¹ × 2² × 5¹ × 19¹ × 233¹
LCM(88523,88540) = 7837826420