What is the Least Common Multiple of 65420 and 65440?

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 65420 and 65440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65420 and 65440, than apply into the LCM equation.

GCF(65420,65440) = 20
LCM(65420,65440) = ( 65420 × 65440) / 20
LCM(65420,65440) = 4281084800 / 20
LCM(65420,65440) = 214054240

Least Common Multiple (LCM) of 65420 and 65440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65420 and 65440. First we will calculate the prime factors of 65420 and 65440.

Prime Factorization of 65420

Prime Factorization of 65440

Now multiplying the highest exponent prime factors to calculate the LCM of 65420 and 65440.

LCM(65420,65440) = 2⁵ × 5¹ × 3271¹ × 409¹
LCM(65420,65440) = 214054240