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What is the Least Common Multiple of 59867 and 59876?

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 59867 and 59876 is 3584596492.

LCM(59867,59876) = 3584596492

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Least Common Multiple of 59867 and 59876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59867 and 59876, than apply into the LCM equation.

GCF(59867,59876) = 1
LCM(59867,59876) = ( 59867 × 59876) / 1
LCM(59867,59876) = 3584596492 / 1
LCM(59867,59876) = 3584596492

Least Common Multiple (LCM) of 59867 and 59876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59867 and 59876. First we will calculate the prime factors of 59867 and 59876.

Prime Factorization of 59867

Prime factors of 59867 are 131, 457. Prime factorization of 59867 in exponential form is:

59867 = 1311 × 4571

Prime Factorization of 59876

Prime factors of 59876 are 2, 14969. Prime factorization of 59876 in exponential form is:

59876 = 22 × 149691

Now multiplying the highest exponent prime factors to calculate the LCM of 59867 and 59876.

LCM(59867,59876) = 1311 × 4571 × 22 × 149691
LCM(59867,59876) = 3584596492