What is the Least Common Multiple of 86512 and 86530?

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 86512 and 86530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86512 and 86530, than apply into the LCM equation.

GCF(86512,86530) = 2
LCM(86512,86530) = ( 86512 × 86530) / 2
LCM(86512,86530) = 7485883360 / 2
LCM(86512,86530) = 3742941680

Least Common Multiple (LCM) of 86512 and 86530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86512 and 86530. First we will calculate the prime factors of 86512 and 86530.

Prime Factorization of 86512

Prime Factorization of 86530

Now multiplying the highest exponent prime factors to calculate the LCM of 86512 and 86530.

LCM(86512,86530) = 2⁴ × 5407¹ × 5¹ × 17¹ × 509¹
LCM(86512,86530) = 3742941680