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What is the Least Common Multiple of 70067 and 70086?

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 70067 and 70086 is 4910715762.

LCM(70067,70086) = 4910715762

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Least Common Multiple of 70067 and 70086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70067 and 70086, than apply into the LCM equation.

GCF(70067,70086) = 1
LCM(70067,70086) = ( 70067 × 70086) / 1
LCM(70067,70086) = 4910715762 / 1
LCM(70067,70086) = 4910715762

Least Common Multiple (LCM) of 70067 and 70086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70067 and 70086. First we will calculate the prime factors of 70067 and 70086.

Prime Factorization of 70067

Prime factors of 70067 are 70067. Prime factorization of 70067 in exponential form is:

70067 = 700671

Prime Factorization of 70086

Prime factors of 70086 are 2, 3, 11681. Prime factorization of 70086 in exponential form is:

70086 = 21 × 31 × 116811

Now multiplying the highest exponent prime factors to calculate the LCM of 70067 and 70086.

LCM(70067,70086) = 700671 × 21 × 31 × 116811
LCM(70067,70086) = 4910715762