What is the Least Common Multiple of 65120 and 65129?

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 65120 and 65129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65120 and 65129, than apply into the LCM equation.

GCF(65120,65129) = 1
LCM(65120,65129) = ( 65120 × 65129) / 1
LCM(65120,65129) = 4241200480 / 1
LCM(65120,65129) = 4241200480

Least Common Multiple (LCM) of 65120 and 65129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65120 and 65129. First we will calculate the prime factors of 65120 and 65129.

Prime Factorization of 65120

Prime Factorization of 65129

Now multiplying the highest exponent prime factors to calculate the LCM of 65120 and 65129.

LCM(65120,65129) = 2⁵ × 5¹ × 11¹ × 37¹ × 65129¹
LCM(65120,65129) = 4241200480