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What is the Least Common Multiple of 60826 and 60842?

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 60826 and 60842 is 1850387746.

LCM(60826,60842) = 1850387746

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Least Common Multiple of 60826 and 60842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60826 and 60842, than apply into the LCM equation.

GCF(60826,60842) = 2
LCM(60826,60842) = ( 60826 × 60842) / 2
LCM(60826,60842) = 3700775492 / 2
LCM(60826,60842) = 1850387746

Least Common Multiple (LCM) of 60826 and 60842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60826 and 60842. First we will calculate the prime factors of 60826 and 60842.

Prime Factorization of 60826

Prime factors of 60826 are 2, 17, 1789. Prime factorization of 60826 in exponential form is:

60826 = 21 × 171 × 17891

Prime Factorization of 60842

Prime factors of 60842 are 2, 29, 1049. Prime factorization of 60842 in exponential form is:

60842 = 21 × 291 × 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 60826 and 60842.

LCM(60826,60842) = 21 × 171 × 17891 × 291 × 10491
LCM(60826,60842) = 1850387746