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What is the Least Common Multiple of 84136 and 84151?

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 84136 and 84151 is 7080128536.

LCM(84136,84151) = 7080128536

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Least Common Multiple of 84136 and 84151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84136 and 84151, than apply into the LCM equation.

GCF(84136,84151) = 1
LCM(84136,84151) = ( 84136 × 84151) / 1
LCM(84136,84151) = 7080128536 / 1
LCM(84136,84151) = 7080128536

Least Common Multiple (LCM) of 84136 and 84151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84136 and 84151. First we will calculate the prime factors of 84136 and 84151.

Prime Factorization of 84136

Prime factors of 84136 are 2, 13, 809. Prime factorization of 84136 in exponential form is:

84136 = 23 × 131 × 8091

Prime Factorization of 84151

Prime factors of 84151 are 19, 43, 103. Prime factorization of 84151 in exponential form is:

84151 = 191 × 431 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 84136 and 84151.

LCM(84136,84151) = 23 × 131 × 8091 × 191 × 431 × 1031
LCM(84136,84151) = 7080128536