What is the Least Common Multiple of 65514 and 65534?

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 65514 and 65534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65514 and 65534, than apply into the LCM equation.

GCF(65514,65534) = 2
LCM(65514,65534) = ( 65514 × 65534) / 2
LCM(65514,65534) = 4293394476 / 2
LCM(65514,65534) = 2146697238

Least Common Multiple (LCM) of 65514 and 65534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65514 and 65534. First we will calculate the prime factors of 65514 and 65534.

Prime Factorization of 65514

Prime Factorization of 65534

Now multiplying the highest exponent prime factors to calculate the LCM of 65514 and 65534.

LCM(65514,65534) = 2¹ × 3¹ × 61¹ × 179¹ × 7¹ × 31¹ × 151¹
LCM(65514,65534) = 2146697238