What is the Least Common Multiple of 10516 and 10534?

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 10516 and 10534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10516 and 10534, than apply into the LCM equation.

GCF(10516,10534) = 2
LCM(10516,10534) = ( 10516 × 10534) / 2
LCM(10516,10534) = 110775544 / 2
LCM(10516,10534) = 55387772

Least Common Multiple (LCM) of 10516 and 10534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10516 and 10534. First we will calculate the prime factors of 10516 and 10534.

Prime Factorization of 10516

Prime Factorization of 10534

Now multiplying the highest exponent prime factors to calculate the LCM of 10516 and 10534.

LCM(10516,10534) = 2² × 11¹ × 239¹ × 23¹ × 229¹
LCM(10516,10534) = 55387772