What is the Least Common Multiple of 96519 and 96535?

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 96519 and 96535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96519 and 96535, than apply into the LCM equation.

GCF(96519,96535) = 1
LCM(96519,96535) = ( 96519 × 96535) / 1
LCM(96519,96535) = 9317461665 / 1
LCM(96519,96535) = 9317461665

Least Common Multiple (LCM) of 96519 and 96535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96519 and 96535. First we will calculate the prime factors of 96519 and 96535.

Prime Factorization of 96519

Prime Factorization of 96535

Now multiplying the highest exponent prime factors to calculate the LCM of 96519 and 96535.

LCM(96519,96535) = 3¹ × 32173¹ × 5¹ × 43¹ × 449¹
LCM(96519,96535) = 9317461665