What is the Least Common Multiple of 65120 and 65133?

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 65133 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 65133, than apply into the LCM equation.

GCF(65120,65133) = 1
LCM(65120,65133) = ( 65120 × 65133) / 1
LCM(65120,65133) = 4241460960 / 1
LCM(65120,65133) = 4241460960

Least Common Multiple (LCM) of 65120 and 65133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65120 and 65133. First we will calculate the prime factors of 65120 and 65133.

Prime Factorization of 65120

Prime Factorization of 65133

Now multiplying the highest exponent prime factors to calculate the LCM of 65120 and 65133.

LCM(65120,65133) = 2⁵ × 5¹ × 11¹ × 37¹ × 3² × 7237¹
LCM(65120,65133) = 4241460960