What is the Least Common Multiple of 65506 and 65516?

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 65506 and 65516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65506 and 65516, than apply into the LCM equation.

GCF(65506,65516) = 2
LCM(65506,65516) = ( 65506 × 65516) / 2
LCM(65506,65516) = 4291691096 / 2
LCM(65506,65516) = 2145845548

Least Common Multiple (LCM) of 65506 and 65516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65506 and 65516. First we will calculate the prime factors of 65506 and 65516.

Prime Factorization of 65506

Prime Factorization of 65516

Now multiplying the highest exponent prime factors to calculate the LCM of 65506 and 65516.

LCM(65506,65516) = 2² × 7¹ × 4679¹ × 11¹ × 1489¹
LCM(65506,65516) = 2145845548