What is the Least Common Multiple of 85519 and 85535?

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 85519 and 85535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85519 and 85535, than apply into the LCM equation.

GCF(85519,85535) = 1
LCM(85519,85535) = ( 85519 × 85535) / 1
LCM(85519,85535) = 7314867665 / 1
LCM(85519,85535) = 7314867665

Least Common Multiple (LCM) of 85519 and 85535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85519 and 85535. First we will calculate the prime factors of 85519 and 85535.

Prime Factorization of 85519

Prime Factorization of 85535

Now multiplying the highest exponent prime factors to calculate the LCM of 85519 and 85535.

LCM(85519,85535) = 7¹ × 19¹ × 643¹ × 5¹ × 17107¹
LCM(85519,85535) = 7314867665