What is the Least Common Multiple of 86032 and 86049?

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 86032 and 86049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86032 and 86049, than apply into the LCM equation.

GCF(86032,86049) = 1
LCM(86032,86049) = ( 86032 × 86049) / 1
LCM(86032,86049) = 7402967568 / 1
LCM(86032,86049) = 7402967568

Least Common Multiple (LCM) of 86032 and 86049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86032 and 86049. First we will calculate the prime factors of 86032 and 86049.

Prime Factorization of 86032

Prime Factorization of 86049

Now multiplying the highest exponent prime factors to calculate the LCM of 86032 and 86049.

LCM(86032,86049) = 2⁴ × 19¹ × 283¹ × 3³ × 3187¹
LCM(86032,86049) = 7402967568