What is the Least Common Multiple of 89481 and 89489?

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 89481 and 89489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89481 and 89489, than apply into the LCM equation.

GCF(89481,89489) = 1
LCM(89481,89489) = ( 89481 × 89489) / 1
LCM(89481,89489) = 8007565209 / 1
LCM(89481,89489) = 8007565209

Least Common Multiple (LCM) of 89481 and 89489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89481 and 89489. First we will calculate the prime factors of 89481 and 89489.

Prime Factorization of 89481

Prime Factorization of 89489

Now multiplying the highest exponent prime factors to calculate the LCM of 89481 and 89489.

LCM(89481,89489) = 3¹ × 7¹ × 4261¹ × 109¹ × 821¹
LCM(89481,89489) = 8007565209