What is the Least Common Multiple of 65414 and 65432?

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 65414 and 65432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65414 and 65432, than apply into the LCM equation.

GCF(65414,65432) = 2
LCM(65414,65432) = ( 65414 × 65432) / 2
LCM(65414,65432) = 4280168848 / 2
LCM(65414,65432) = 2140084424

Least Common Multiple (LCM) of 65414 and 65432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65414 and 65432. First we will calculate the prime factors of 65414 and 65432.

Prime Factorization of 65414

Prime Factorization of 65432

Now multiplying the highest exponent prime factors to calculate the LCM of 65414 and 65432.

LCM(65414,65432) = 2³ × 32707¹ × 8179¹
LCM(65414,65432) = 2140084424