What is the Least Common Multiple of 86490 and 86495?

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 86490 and 86495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86490 and 86495, than apply into the LCM equation.

GCF(86490,86495) = 5
LCM(86490,86495) = ( 86490 × 86495) / 5
LCM(86490,86495) = 7480952550 / 5
LCM(86490,86495) = 1496190510

Least Common Multiple (LCM) of 86490 and 86495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86490 and 86495. First we will calculate the prime factors of 86490 and 86495.

Prime Factorization of 86490

Prime Factorization of 86495

Now multiplying the highest exponent prime factors to calculate the LCM of 86490 and 86495.

LCM(86490,86495) = 2¹ × 3² × 5¹ × 31² × 17299¹
LCM(86490,86495) = 1496190510