What is the Least Common Multiple of 88270 and 88286?

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 88270 and 88286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88270 and 88286, than apply into the LCM equation.

GCF(88270,88286) = 2
LCM(88270,88286) = ( 88270 × 88286) / 2
LCM(88270,88286) = 7793005220 / 2
LCM(88270,88286) = 3896502610

Least Common Multiple (LCM) of 88270 and 88286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88270 and 88286. First we will calculate the prime factors of 88270 and 88286.

Prime Factorization of 88270

Prime Factorization of 88286

Now multiplying the highest exponent prime factors to calculate the LCM of 88270 and 88286.

LCM(88270,88286) = 2¹ × 5¹ × 7¹ × 13¹ × 97¹ × 11¹ × 4013¹
LCM(88270,88286) = 3896502610