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What is the Least Common Multiple of 83787 and 83801?

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 83787 and 83801 is 7021434387.

LCM(83787,83801) = 7021434387

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Least Common Multiple of 83787 and 83801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83787 and 83801, than apply into the LCM equation.

GCF(83787,83801) = 1
LCM(83787,83801) = ( 83787 × 83801) / 1
LCM(83787,83801) = 7021434387 / 1
LCM(83787,83801) = 7021434387

Least Common Multiple (LCM) of 83787 and 83801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83787 and 83801. First we will calculate the prime factors of 83787 and 83801.

Prime Factorization of 83787

Prime factors of 83787 are 3, 11, 2539. Prime factorization of 83787 in exponential form is:

83787 = 31 × 111 × 25391

Prime Factorization of 83801

Prime factors of 83801 are 47, 1783. Prime factorization of 83801 in exponential form is:

83801 = 471 × 17831

Now multiplying the highest exponent prime factors to calculate the LCM of 83787 and 83801.

LCM(83787,83801) = 31 × 111 × 25391 × 471 × 17831
LCM(83787,83801) = 7021434387