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What is the Least Common Multiple of 68865 and 68874?

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 68865 and 68874 is 1581002670.

LCM(68865,68874) = 1581002670

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Least Common Multiple of 68865 and 68874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68865 and 68874, than apply into the LCM equation.

GCF(68865,68874) = 3
LCM(68865,68874) = ( 68865 × 68874) / 3
LCM(68865,68874) = 4743008010 / 3
LCM(68865,68874) = 1581002670

Least Common Multiple (LCM) of 68865 and 68874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68865 and 68874. First we will calculate the prime factors of 68865 and 68874.

Prime Factorization of 68865

Prime factors of 68865 are 3, 5, 4591. Prime factorization of 68865 in exponential form is:

68865 = 31 × 51 × 45911

Prime Factorization of 68874

Prime factors of 68874 are 2, 3, 13, 883. Prime factorization of 68874 in exponential form is:

68874 = 21 × 31 × 131 × 8831

Now multiplying the highest exponent prime factors to calculate the LCM of 68865 and 68874.

LCM(68865,68874) = 31 × 51 × 45911 × 21 × 131 × 8831
LCM(68865,68874) = 1581002670