What is the Least Common Multiple of 65514 and 65522?

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 65522 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 65522, than apply into the LCM equation.

GCF(65514,65522) = 2
LCM(65514,65522) = ( 65514 × 65522) / 2
LCM(65514,65522) = 4292608308 / 2
LCM(65514,65522) = 2146304154

Least Common Multiple (LCM) of 65514 and 65522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65514 and 65522. First we will calculate the prime factors of 65514 and 65522.

Prime Factorization of 65514

Prime Factorization of 65522

Now multiplying the highest exponent prime factors to calculate the LCM of 65514 and 65522.

LCM(65514,65522) = 2¹ × 3¹ × 61¹ × 179¹ × 181²
LCM(65514,65522) = 2146304154