What is the Least Common Multiple of 65184 and 65196?

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 65196 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 65196, than apply into the LCM equation.

GCF(65184,65196) = 12
LCM(65184,65196) = ( 65184 × 65196) / 12
LCM(65184,65196) = 4249736064 / 12
LCM(65184,65196) = 354144672

Least Common Multiple (LCM) of 65184 and 65196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65184 and 65196. First we will calculate the prime factors of 65184 and 65196.

Prime Factorization of 65184

Prime Factorization of 65196

Now multiplying the highest exponent prime factors to calculate the LCM of 65184 and 65196.

LCM(65184,65196) = 2⁵ × 3² × 7¹ × 97¹ × 1811¹
LCM(65184,65196) = 354144672