What is the Least Common Multiple of 20534 and 20540?

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 20534 and 20540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20534 and 20540, than apply into the LCM equation.

GCF(20534,20540) = 2
LCM(20534,20540) = ( 20534 × 20540) / 2
LCM(20534,20540) = 421768360 / 2
LCM(20534,20540) = 210884180

Least Common Multiple (LCM) of 20534 and 20540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20534 and 20540. First we will calculate the prime factors of 20534 and 20540.

Prime Factorization of 20534

Prime Factorization of 20540

Now multiplying the highest exponent prime factors to calculate the LCM of 20534 and 20540.

LCM(20534,20540) = 2² × 10267¹ × 5¹ × 13¹ × 79¹
LCM(20534,20540) = 210884180