What is the Least Common Multiple of 20516 and 20534?

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 20516 and 20534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20516 and 20534, than apply into the LCM equation.

GCF(20516,20534) = 2
LCM(20516,20534) = ( 20516 × 20534) / 2
LCM(20516,20534) = 421275544 / 2
LCM(20516,20534) = 210637772

Least Common Multiple (LCM) of 20516 and 20534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20516 and 20534. First we will calculate the prime factors of 20516 and 20534.

Prime Factorization of 20516

Prime Factorization of 20534

Now multiplying the highest exponent prime factors to calculate the LCM of 20516 and 20534.

LCM(20516,20534) = 2² × 23¹ × 223¹ × 10267¹
LCM(20516,20534) = 210637772