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What is the Least Common Multiple of 83987 and 83995?

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 83987 and 83995 is 7054488065.

LCM(83987,83995) = 7054488065

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Least Common Multiple of 83987 and 83995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83987 and 83995, than apply into the LCM equation.

GCF(83987,83995) = 1
LCM(83987,83995) = ( 83987 × 83995) / 1
LCM(83987,83995) = 7054488065 / 1
LCM(83987,83995) = 7054488065

Least Common Multiple (LCM) of 83987 and 83995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83987 and 83995. First we will calculate the prime factors of 83987 and 83995.

Prime Factorization of 83987

Prime factors of 83987 are 83987. Prime factorization of 83987 in exponential form is:

83987 = 839871

Prime Factorization of 83995

Prime factors of 83995 are 5, 107, 157. Prime factorization of 83995 in exponential form is:

83995 = 51 × 1071 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 83987 and 83995.

LCM(83987,83995) = 839871 × 51 × 1071 × 1571
LCM(83987,83995) = 7054488065