What is the Least Common Multiple of 88504 and 88514?

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 88504 and 88514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88504 and 88514, than apply into the LCM equation.

GCF(88504,88514) = 2
LCM(88504,88514) = ( 88504 × 88514) / 2
LCM(88504,88514) = 7833843056 / 2
LCM(88504,88514) = 3916921528

Least Common Multiple (LCM) of 88504 and 88514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88504 and 88514. First we will calculate the prime factors of 88504 and 88514.

Prime Factorization of 88504

Prime Factorization of 88514

Now multiplying the highest exponent prime factors to calculate the LCM of 88504 and 88514.

LCM(88504,88514) = 2³ × 13¹ × 23¹ × 37¹ × 44257¹
LCM(88504,88514) = 3916921528