What is the Least Common Multiple of 86561 and 86569?

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 86561 and 86569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86561 and 86569, than apply into the LCM equation.

GCF(86561,86569) = 1
LCM(86561,86569) = ( 86561 × 86569) / 1
LCM(86561,86569) = 7493499209 / 1
LCM(86561,86569) = 7493499209

Least Common Multiple (LCM) of 86561 and 86569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86561 and 86569. First we will calculate the prime factors of 86561 and 86569.

Prime Factorization of 86561

Prime Factorization of 86569

Now multiplying the highest exponent prime factors to calculate the LCM of 86561 and 86569.

LCM(86561,86569) = 86561¹ × 7¹ × 83¹ × 149¹
LCM(86561,86569) = 7493499209