What is the Least Common Multiple of 99521 and 99535?

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 99521 and 99535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99521 and 99535, than apply into the LCM equation.

GCF(99521,99535) = 1
LCM(99521,99535) = ( 99521 × 99535) / 1
LCM(99521,99535) = 9905822735 / 1
LCM(99521,99535) = 9905822735

Least Common Multiple (LCM) of 99521 and 99535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99521 and 99535. First we will calculate the prime factors of 99521 and 99535.

Prime Factorization of 99521

Prime Factorization of 99535

Now multiplying the highest exponent prime factors to calculate the LCM of 99521 and 99535.

LCM(99521,99535) = 23¹ × 4327¹ × 5¹ × 17¹ × 1171¹
LCM(99521,99535) = 9905822735