What is the Least Common Multiple of 86284 and 86302?

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 86284 and 86302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86284 and 86302, than apply into the LCM equation.

GCF(86284,86302) = 2
LCM(86284,86302) = ( 86284 × 86302) / 2
LCM(86284,86302) = 7446481768 / 2
LCM(86284,86302) = 3723240884

Least Common Multiple (LCM) of 86284 and 86302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86284 and 86302. First we will calculate the prime factors of 86284 and 86302.

Prime Factorization of 86284

Prime Factorization of 86302

Now multiplying the highest exponent prime factors to calculate the LCM of 86284 and 86302.

LCM(86284,86302) = 2² × 11¹ × 37¹ × 53¹ × 43151¹
LCM(86284,86302) = 3723240884