What is the Least Common Multiple of 86278 and 86290?

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 86278 and 86290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86278 and 86290, than apply into the LCM equation.

GCF(86278,86290) = 2
LCM(86278,86290) = ( 86278 × 86290) / 2
LCM(86278,86290) = 7444928620 / 2
LCM(86278,86290) = 3722464310

Least Common Multiple (LCM) of 86278 and 86290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86278 and 86290. First we will calculate the prime factors of 86278 and 86290.

Prime Factorization of 86278

Prime Factorization of 86290

Now multiplying the highest exponent prime factors to calculate the LCM of 86278 and 86290.

LCM(86278,86290) = 2¹ × 179¹ × 241¹ × 5¹ × 8629¹
LCM(86278,86290) = 3722464310