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What is the Least Common Multiple of 68840 and 68847?

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 68840 and 68847 is 4739427480.

LCM(68840,68847) = 4739427480

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Least Common Multiple of 68840 and 68847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68840 and 68847, than apply into the LCM equation.

GCF(68840,68847) = 1
LCM(68840,68847) = ( 68840 × 68847) / 1
LCM(68840,68847) = 4739427480 / 1
LCM(68840,68847) = 4739427480

Least Common Multiple (LCM) of 68840 and 68847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68840 and 68847. First we will calculate the prime factors of 68840 and 68847.

Prime Factorization of 68840

Prime factors of 68840 are 2, 5, 1721. Prime factorization of 68840 in exponential form is:

68840 = 23 × 51 × 17211

Prime Factorization of 68847

Prime factors of 68847 are 3, 53, 433. Prime factorization of 68847 in exponential form is:

68847 = 31 × 531 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 68840 and 68847.

LCM(68840,68847) = 23 × 51 × 17211 × 31 × 531 × 4331
LCM(68840,68847) = 4739427480