What is the Least Common Multiple of 86501 and 86505?

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 86501 and 86505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86501 and 86505, than apply into the LCM equation.

GCF(86501,86505) = 1
LCM(86501,86505) = ( 86501 × 86505) / 1
LCM(86501,86505) = 7482769005 / 1
LCM(86501,86505) = 7482769005

Least Common Multiple (LCM) of 86501 and 86505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86501 and 86505. First we will calculate the prime factors of 86501 and 86505.

Prime Factorization of 86501

Prime Factorization of 86505

Now multiplying the highest exponent prime factors to calculate the LCM of 86501 and 86505.

LCM(86501,86505) = 86501¹ × 3¹ × 5¹ × 73¹ × 79¹
LCM(86501,86505) = 7482769005