What is the Least Common Multiple of 65268 and 65288?

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 65268 and 65288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65268 and 65288, than apply into the LCM equation.

GCF(65268,65288) = 4
LCM(65268,65288) = ( 65268 × 65288) / 4
LCM(65268,65288) = 4261217184 / 4
LCM(65268,65288) = 1065304296

Least Common Multiple (LCM) of 65268 and 65288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65268 and 65288. First we will calculate the prime factors of 65268 and 65288.

Prime Factorization of 65268

Prime Factorization of 65288

Now multiplying the highest exponent prime factors to calculate the LCM of 65268 and 65288.

LCM(65268,65288) = 2³ × 3² × 7² × 37¹ × 8161¹
LCM(65268,65288) = 1065304296