What is the Least Common Multiple of 65560 and 65567?

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 65560 and 65567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65560 and 65567, than apply into the LCM equation.

GCF(65560,65567) = 1
LCM(65560,65567) = ( 65560 × 65567) / 1
LCM(65560,65567) = 4298572520 / 1
LCM(65560,65567) = 4298572520

Least Common Multiple (LCM) of 65560 and 65567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65560 and 65567. First we will calculate the prime factors of 65560 and 65567.

Prime Factorization of 65560

Prime Factorization of 65567

Now multiplying the highest exponent prime factors to calculate the LCM of 65560 and 65567.

LCM(65560,65567) = 2³ × 5¹ × 11¹ × 149¹ × 173¹ × 379¹
LCM(65560,65567) = 4298572520