What is the Least Common Multiple of 20540 and 20553?

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 20540 and 20553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20540 and 20553, than apply into the LCM equation.

GCF(20540,20553) = 13
LCM(20540,20553) = ( 20540 × 20553) / 13
LCM(20540,20553) = 422158620 / 13
LCM(20540,20553) = 32473740

Least Common Multiple (LCM) of 20540 and 20553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20540 and 20553. First we will calculate the prime factors of 20540 and 20553.

Prime Factorization of 20540

Prime Factorization of 20553

Now multiplying the highest exponent prime factors to calculate the LCM of 20540 and 20553.

LCM(20540,20553) = 2² × 5¹ × 13¹ × 79¹ × 3¹ × 17¹ × 31¹
LCM(20540,20553) = 32473740