What is the Least Common Multiple of 10838 and 10852?

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 10838 and 10852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10838 and 10852, than apply into the LCM equation.

GCF(10838,10852) = 2
LCM(10838,10852) = ( 10838 × 10852) / 2
LCM(10838,10852) = 117613976 / 2
LCM(10838,10852) = 58806988

Least Common Multiple (LCM) of 10838 and 10852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10838 and 10852. First we will calculate the prime factors of 10838 and 10852.

Prime Factorization of 10838

Prime Factorization of 10852

Now multiplying the highest exponent prime factors to calculate the LCM of 10838 and 10852.

LCM(10838,10852) = 2² × 5419¹ × 2713¹
LCM(10838,10852) = 58806988