What is the Least Common Multiple of 60842 and 60856?

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 60842 and 60856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60842 and 60856, than apply into the LCM equation.

GCF(60842,60856) = 2
LCM(60842,60856) = ( 60842 × 60856) / 2
LCM(60842,60856) = 3702600752 / 2
LCM(60842,60856) = 1851300376

Least Common Multiple (LCM) of 60842 and 60856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60842 and 60856. First we will calculate the prime factors of 60842 and 60856.

Prime Factorization of 60842

Prime Factorization of 60856

Now multiplying the highest exponent prime factors to calculate the LCM of 60842 and 60856.

LCM(60842,60856) = 2³ × 29¹ × 1049¹ × 7607¹
LCM(60842,60856) = 1851300376