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What is the Least Common Multiple of 7867 and 7874?

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 7867 and 7874 is 61944758.

LCM(7867,7874) = 61944758

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Least Common Multiple of 7867 and 7874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7867 and 7874, than apply into the LCM equation.

GCF(7867,7874) = 1
LCM(7867,7874) = ( 7867 × 7874) / 1
LCM(7867,7874) = 61944758 / 1
LCM(7867,7874) = 61944758

Least Common Multiple (LCM) of 7867 and 7874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7867 and 7874. First we will calculate the prime factors of 7867 and 7874.

Prime Factorization of 7867

Prime factors of 7867 are 7867. Prime factorization of 7867 in exponential form is:

7867 = 78671

Prime Factorization of 7874

Prime factors of 7874 are 2, 31, 127. Prime factorization of 7874 in exponential form is:

7874 = 21 × 311 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 7867 and 7874.

LCM(7867,7874) = 78671 × 21 × 311 × 1271
LCM(7867,7874) = 61944758