What is the Least Common Multiple of 86432 and 86451?

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 86432 and 86451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86432 and 86451, than apply into the LCM equation.

GCF(86432,86451) = 1
LCM(86432,86451) = ( 86432 × 86451) / 1
LCM(86432,86451) = 7472132832 / 1
LCM(86432,86451) = 7472132832

Least Common Multiple (LCM) of 86432 and 86451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86432 and 86451. First we will calculate the prime factors of 86432 and 86451.

Prime Factorization of 86432

Prime Factorization of 86451

Now multiplying the highest exponent prime factors to calculate the LCM of 86432 and 86451.

LCM(86432,86451) = 2⁵ × 37¹ × 73¹ × 3¹ × 28817¹
LCM(86432,86451) = 7472132832