What is the Least Common Multiple of 86314 and 86320?

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 86314 and 86320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86314 and 86320, than apply into the LCM equation.

GCF(86314,86320) = 2
LCM(86314,86320) = ( 86314 × 86320) / 2
LCM(86314,86320) = 7450624480 / 2
LCM(86314,86320) = 3725312240

Least Common Multiple (LCM) of 86314 and 86320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86314 and 86320. First we will calculate the prime factors of 86314 and 86320.

Prime Factorization of 86314

Prime Factorization of 86320

Now multiplying the highest exponent prime factors to calculate the LCM of 86314 and 86320.

LCM(86314,86320) = 2⁴ × 103¹ × 419¹ × 5¹ × 13¹ × 83¹
LCM(86314,86320) = 3725312240