What is the Least Common Multiple of 8270 and 8286?

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 8270 and 8286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8270 and 8286, than apply into the LCM equation.

GCF(8270,8286) = 2
LCM(8270,8286) = ( 8270 × 8286) / 2
LCM(8270,8286) = 68525220 / 2
LCM(8270,8286) = 34262610

Least Common Multiple (LCM) of 8270 and 8286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8270 and 8286. First we will calculate the prime factors of 8270 and 8286.

Prime Factorization of 8270

Prime Factorization of 8286

Now multiplying the highest exponent prime factors to calculate the LCM of 8270 and 8286.

LCM(8270,8286) = 2¹ × 5¹ × 827¹ × 3¹ × 1381¹
LCM(8270,8286) = 34262610