What is the Least Common Multiple of 86049 and 86067?

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 86049 and 86067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86049 and 86067, than apply into the LCM equation.

GCF(86049,86067) = 9
LCM(86049,86067) = ( 86049 × 86067) / 9
LCM(86049,86067) = 7405979283 / 9
LCM(86049,86067) = 822886587

Least Common Multiple (LCM) of 86049 and 86067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86049 and 86067. First we will calculate the prime factors of 86049 and 86067.

Prime Factorization of 86049

Prime Factorization of 86067

Now multiplying the highest exponent prime factors to calculate the LCM of 86049 and 86067.

LCM(86049,86067) = 3³ × 3187¹ × 73¹ × 131¹
LCM(86049,86067) = 822886587