What is the Least Common Multiple of 89504 and 89519?

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 89504 and 89519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89504 and 89519, than apply into the LCM equation.

GCF(89504,89519) = 1
LCM(89504,89519) = ( 89504 × 89519) / 1
LCM(89504,89519) = 8012308576 / 1
LCM(89504,89519) = 8012308576

Least Common Multiple (LCM) of 89504 and 89519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89504 and 89519. First we will calculate the prime factors of 89504 and 89519.

Prime Factorization of 89504

Prime Factorization of 89519

Now multiplying the highest exponent prime factors to calculate the LCM of 89504 and 89519.

LCM(89504,89519) = 2⁵ × 2797¹ × 89519¹
LCM(89504,89519) = 8012308576