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What is the Least Common Multiple of 84479 and 84485?

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 84479 and 84485 is 7137208315.

LCM(84479,84485) = 7137208315

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Least Common Multiple of 84479 and 84485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84479 and 84485, than apply into the LCM equation.

GCF(84479,84485) = 1
LCM(84479,84485) = ( 84479 × 84485) / 1
LCM(84479,84485) = 7137208315 / 1
LCM(84479,84485) = 7137208315

Least Common Multiple (LCM) of 84479 and 84485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84479 and 84485. First we will calculate the prime factors of 84479 and 84485.

Prime Factorization of 84479

Prime factors of 84479 are 23, 3673. Prime factorization of 84479 in exponential form is:

84479 = 231 × 36731

Prime Factorization of 84485

Prime factors of 84485 are 5, 61, 277. Prime factorization of 84485 in exponential form is:

84485 = 51 × 611 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 84479 and 84485.

LCM(84479,84485) = 231 × 36731 × 51 × 611 × 2771
LCM(84479,84485) = 7137208315