What is the Least Common Multiple of 65234 and 65240?

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 65234 and 65240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65234 and 65240, than apply into the LCM equation.

GCF(65234,65240) = 2
LCM(65234,65240) = ( 65234 × 65240) / 2
LCM(65234,65240) = 4255866160 / 2
LCM(65234,65240) = 2127933080

Least Common Multiple (LCM) of 65234 and 65240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65234 and 65240. First we will calculate the prime factors of 65234 and 65240.

Prime Factorization of 65234

Prime Factorization of 65240

Now multiplying the highest exponent prime factors to calculate the LCM of 65234 and 65240.

LCM(65234,65240) = 2³ × 13² × 193¹ × 5¹ × 7¹ × 233¹
LCM(65234,65240) = 2127933080