What is the Least Common Multiple of 86717 and 86730?

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 86717 and 86730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86717 and 86730, than apply into the LCM equation.

GCF(86717,86730) = 1
LCM(86717,86730) = ( 86717 × 86730) / 1
LCM(86717,86730) = 7520965410 / 1
LCM(86717,86730) = 7520965410

Least Common Multiple (LCM) of 86717 and 86730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86717 and 86730. First we will calculate the prime factors of 86717 and 86730.

Prime Factorization of 86717

Prime Factorization of 86730

Now multiplying the highest exponent prime factors to calculate the LCM of 86717 and 86730.

LCM(86717,86730) = 17¹ × 5101¹ × 2¹ × 3¹ × 5¹ × 7² × 59¹
LCM(86717,86730) = 7520965410