What is the Least Common Multiple of 92481 and 92489?

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 92481 and 92489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92481 and 92489, than apply into the LCM equation.

GCF(92481,92489) = 1
LCM(92481,92489) = ( 92481 × 92489) / 1
LCM(92481,92489) = 8553475209 / 1
LCM(92481,92489) = 8553475209

Least Common Multiple (LCM) of 92481 and 92489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92481 and 92489. First we will calculate the prime factors of 92481 and 92489.

Prime Factorization of 92481

Prime Factorization of 92489

Now multiplying the highest exponent prime factors to calculate the LCM of 92481 and 92489.

LCM(92481,92489) = 3¹ × 29¹ × 1063¹ × 92489¹
LCM(92481,92489) = 8553475209