What is the Least Common Multiple of 65414 and 65422?

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 65422 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 65422, than apply into the LCM equation.

GCF(65414,65422) = 2
LCM(65414,65422) = ( 65414 × 65422) / 2
LCM(65414,65422) = 4279514708 / 2
LCM(65414,65422) = 2139757354

Least Common Multiple (LCM) of 65414 and 65422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65414 and 65422. First we will calculate the prime factors of 65414 and 65422.

Prime Factorization of 65414

Prime Factorization of 65422

Now multiplying the highest exponent prime factors to calculate the LCM of 65414 and 65422.

LCM(65414,65422) = 2¹ × 32707¹ × 7¹ × 4673¹
LCM(65414,65422) = 2139757354