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What is the Least Common Multiple of 60873 and 60877?

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 60873 and 60877 is 3705765621.

LCM(60873,60877) = 3705765621

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Least Common Multiple of 60873 and 60877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60873 and 60877, than apply into the LCM equation.

GCF(60873,60877) = 1
LCM(60873,60877) = ( 60873 × 60877) / 1
LCM(60873,60877) = 3705765621 / 1
LCM(60873,60877) = 3705765621

Least Common Multiple (LCM) of 60873 and 60877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60873 and 60877. First we will calculate the prime factors of 60873 and 60877.

Prime Factorization of 60873

Prime factors of 60873 are 3, 103, 197. Prime factorization of 60873 in exponential form is:

60873 = 31 × 1031 × 1971

Prime Factorization of 60877

Prime factors of 60877 are 17, 3581. Prime factorization of 60877 in exponential form is:

60877 = 171 × 35811

Now multiplying the highest exponent prime factors to calculate the LCM of 60873 and 60877.

LCM(60873,60877) = 31 × 1031 × 1971 × 171 × 35811
LCM(60873,60877) = 3705765621