What is the Least Common Multiple of 65184 and 65192?

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 65184 and 65192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65184 and 65192, than apply into the LCM equation.

GCF(65184,65192) = 8
LCM(65184,65192) = ( 65184 × 65192) / 8
LCM(65184,65192) = 4249475328 / 8
LCM(65184,65192) = 531184416

Least Common Multiple (LCM) of 65184 and 65192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65184 and 65192. First we will calculate the prime factors of 65184 and 65192.

Prime Factorization of 65184

Prime Factorization of 65192

Now multiplying the highest exponent prime factors to calculate the LCM of 65184 and 65192.

LCM(65184,65192) = 2⁵ × 3¹ × 7¹ × 97¹ × 29¹ × 281¹
LCM(65184,65192) = 531184416