What is the Least Common Multiple of 21539 and 21545?

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 21539 and 21545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21539 and 21545, than apply into the LCM equation.

GCF(21539,21545) = 1
LCM(21539,21545) = ( 21539 × 21545) / 1
LCM(21539,21545) = 464057755 / 1
LCM(21539,21545) = 464057755

Least Common Multiple (LCM) of 21539 and 21545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21539 and 21545. First we will calculate the prime factors of 21539 and 21545.

Prime Factorization of 21539

Prime Factorization of 21545

Now multiplying the highest exponent prime factors to calculate the LCM of 21539 and 21545.

LCM(21539,21545) = 7¹ × 17¹ × 181¹ × 5¹ × 31¹ × 139¹
LCM(21539,21545) = 464057755