What is the Least Common Multiple of 89505 and 89521?

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 89505 and 89521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89505 and 89521, than apply into the LCM equation.

GCF(89505,89521) = 1
LCM(89505,89521) = ( 89505 × 89521) / 1
LCM(89505,89521) = 8012577105 / 1
LCM(89505,89521) = 8012577105

Least Common Multiple (LCM) of 89505 and 89521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89505 and 89521. First we will calculate the prime factors of 89505 and 89521.

Prime Factorization of 89505

Prime Factorization of 89521

Now multiplying the highest exponent prime factors to calculate the LCM of 89505 and 89521.

LCM(89505,89521) = 3⁴ × 5¹ × 13¹ × 17¹ × 89521¹
LCM(89505,89521) = 8012577105