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What is the Least Common Multiple of 52867 and 52877?

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 52867 and 52877 is 2795448359.

LCM(52867,52877) = 2795448359

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Least Common Multiple of 52867 and 52877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52867 and 52877, than apply into the LCM equation.

GCF(52867,52877) = 1
LCM(52867,52877) = ( 52867 × 52877) / 1
LCM(52867,52877) = 2795448359 / 1
LCM(52867,52877) = 2795448359

Least Common Multiple (LCM) of 52867 and 52877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52867 and 52877. First we will calculate the prime factors of 52867 and 52877.

Prime Factorization of 52867

Prime factors of 52867 are 29, 1823. Prime factorization of 52867 in exponential form is:

52867 = 291 × 18231

Prime Factorization of 52877

Prime factors of 52877 are 11, 19, 23. Prime factorization of 52877 in exponential form is:

52877 = 112 × 191 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 52867 and 52877.

LCM(52867,52877) = 291 × 18231 × 112 × 191 × 231
LCM(52867,52877) = 2795448359