What is the Least Common Multiple of 88512 and 88519?

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 88512 and 88519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88512 and 88519, than apply into the LCM equation.

GCF(88512,88519) = 1
LCM(88512,88519) = ( 88512 × 88519) / 1
LCM(88512,88519) = 7834993728 / 1
LCM(88512,88519) = 7834993728

Least Common Multiple (LCM) of 88512 and 88519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88512 and 88519. First we will calculate the prime factors of 88512 and 88519.

Prime Factorization of 88512

Prime Factorization of 88519

Now multiplying the highest exponent prime factors to calculate the LCM of 88512 and 88519.

LCM(88512,88519) = 2⁶ × 3¹ × 461¹ × 17¹ × 41¹ × 127¹
LCM(88512,88519) = 7834993728