What is the Least Common Multiple of 86490 and 86501?

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 86501 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 86501, than apply into the LCM equation.

GCF(86490,86501) = 1
LCM(86490,86501) = ( 86490 × 86501) / 1
LCM(86490,86501) = 7481471490 / 1
LCM(86490,86501) = 7481471490

Least Common Multiple (LCM) of 86490 and 86501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86490 and 86501. First we will calculate the prime factors of 86490 and 86501.

Prime Factorization of 86490

Prime Factorization of 86501

Now multiplying the highest exponent prime factors to calculate the LCM of 86490 and 86501.

LCM(86490,86501) = 2¹ × 3² × 5¹ × 31² × 86501¹
LCM(86490,86501) = 7481471490