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What is the Least Common Multiple of 60843 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 (LCM) of 60843 and 60856 is 3702661608.

LCM(60843,60856) = 3702661608

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Least Common Multiple of 60843 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 60843 and 60856, than apply into the LCM equation.

GCF(60843,60856) = 1
LCM(60843,60856) = ( 60843 × 60856) / 1
LCM(60843,60856) = 3702661608 / 1
LCM(60843,60856) = 3702661608

Least Common Multiple (LCM) of 60843 and 60856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60843 and 60856. First we will calculate the prime factors of 60843 and 60856.

Prime Factorization of 60843

Prime factors of 60843 are 3, 17, 1193. Prime factorization of 60843 in exponential form is:

60843 = 31 × 171 × 11931

Prime Factorization of 60856

Prime factors of 60856 are 2, 7607. Prime factorization of 60856 in exponential form is:

60856 = 23 × 76071

Now multiplying the highest exponent prime factors to calculate the LCM of 60843 and 60856.

LCM(60843,60856) = 31 × 171 × 11931 × 23 × 76071
LCM(60843,60856) = 3702661608