What is the Least Common Multiple of 65034 and 65049?

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 65034 and 65049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65034 and 65049, than apply into the LCM equation.

GCF(65034,65049) = 3
LCM(65034,65049) = ( 65034 × 65049) / 3
LCM(65034,65049) = 4230396666 / 3
LCM(65034,65049) = 1410132222

Least Common Multiple (LCM) of 65034 and 65049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65034 and 65049. First we will calculate the prime factors of 65034 and 65049.

Prime Factorization of 65034

Prime Factorization of 65049

Now multiplying the highest exponent prime factors to calculate the LCM of 65034 and 65049.

LCM(65034,65049) = 2¹ × 3² × 3613¹ × 21683¹
LCM(65034,65049) = 1410132222