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What is the Least Common Multiple of 68987 and 69004?

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 68987 and 69004 is 4760378948.

LCM(68987,69004) = 4760378948

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Least Common Multiple of 68987 and 69004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68987 and 69004, than apply into the LCM equation.

GCF(68987,69004) = 1
LCM(68987,69004) = ( 68987 × 69004) / 1
LCM(68987,69004) = 4760378948 / 1
LCM(68987,69004) = 4760378948

Least Common Multiple (LCM) of 68987 and 69004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68987 and 69004. First we will calculate the prime factors of 68987 and 69004.

Prime Factorization of 68987

Prime factors of 68987 are 149, 463. Prime factorization of 68987 in exponential form is:

68987 = 1491 × 4631

Prime Factorization of 69004

Prime factors of 69004 are 2, 13, 1327. Prime factorization of 69004 in exponential form is:

69004 = 22 × 131 × 13271

Now multiplying the highest exponent prime factors to calculate the LCM of 68987 and 69004.

LCM(68987,69004) = 1491 × 4631 × 22 × 131 × 13271
LCM(68987,69004) = 4760378948