What is the Least Common Multiple of 86049 and 86053?

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 86053 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 86053, than apply into the LCM equation.

GCF(86049,86053) = 1
LCM(86049,86053) = ( 86049 × 86053) / 1
LCM(86049,86053) = 7404774597 / 1
LCM(86049,86053) = 7404774597

Least Common Multiple (LCM) of 86049 and 86053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86049 and 86053. First we will calculate the prime factors of 86049 and 86053.

Prime Factorization of 86049

Prime Factorization of 86053

Now multiplying the highest exponent prime factors to calculate the LCM of 86049 and 86053.

LCM(86049,86053) = 3³ × 3187¹ × 11¹ × 7823¹
LCM(86049,86053) = 7404774597