What is the Least Common Multiple of 86416 and 86432?

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 86416 and 86432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86416 and 86432, than apply into the LCM equation.

GCF(86416,86432) = 16
LCM(86416,86432) = ( 86416 × 86432) / 16
LCM(86416,86432) = 7469107712 / 16
LCM(86416,86432) = 466819232

Least Common Multiple (LCM) of 86416 and 86432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86416 and 86432. First we will calculate the prime factors of 86416 and 86432.

Prime Factorization of 86416

Prime Factorization of 86432

Now multiplying the highest exponent prime factors to calculate the LCM of 86416 and 86432.

LCM(86416,86432) = 2⁵ × 11¹ × 491¹ × 37¹ × 73¹
LCM(86416,86432) = 466819232