What is the Least Common Multiple of 65274 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 65274 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 65274 and 65288, than apply into the LCM equation.

GCF(65274,65288) = 2
LCM(65274,65288) = ( 65274 × 65288) / 2
LCM(65274,65288) = 4261608912 / 2
LCM(65274,65288) = 2130804456

Least Common Multiple (LCM) of 65274 and 65288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65274 and 65288. First we will calculate the prime factors of 65274 and 65288.

Prime Factorization of 65274

Prime Factorization of 65288

Now multiplying the highest exponent prime factors to calculate the LCM of 65274 and 65288.

LCM(65274,65288) = 2³ × 3¹ × 11¹ × 23¹ × 43¹ × 8161¹
LCM(65274,65288) = 2130804456