What is the Least Common Multiple of 89521 and 89531?

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 89521 and 89531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89521 and 89531, than apply into the LCM equation.

GCF(89521,89531) = 1
LCM(89521,89531) = ( 89521 × 89531) / 1
LCM(89521,89531) = 8014904651 / 1
LCM(89521,89531) = 8014904651

Least Common Multiple (LCM) of 89521 and 89531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89521 and 89531. First we will calculate the prime factors of 89521 and 89531.

Prime Factorization of 89521

Prime Factorization of 89531

Now multiplying the highest exponent prime factors to calculate the LCM of 89521 and 89531.

LCM(89521,89531) = 89521¹ × 13¹ × 71¹ × 97¹
LCM(89521,89531) = 8014904651