What is the Least Common Multiple of 65494 and 65506?

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 65494 and 65506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65494 and 65506, than apply into the LCM equation.

GCF(65494,65506) = 2
LCM(65494,65506) = ( 65494 × 65506) / 2
LCM(65494,65506) = 4290249964 / 2
LCM(65494,65506) = 2145124982

Least Common Multiple (LCM) of 65494 and 65506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65494 and 65506. First we will calculate the prime factors of 65494 and 65506.

Prime Factorization of 65494

Prime Factorization of 65506

Now multiplying the highest exponent prime factors to calculate the LCM of 65494 and 65506.

LCM(65494,65506) = 2¹ × 11¹ × 13¹ × 229¹ × 7¹ × 4679¹
LCM(65494,65506) = 2145124982