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What is the Least Common Multiple of 84041 and 84055?

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 84041 and 84055 is 7064066255.

LCM(84041,84055) = 7064066255

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Least Common Multiple of 84041 and 84055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84041 and 84055, than apply into the LCM equation.

GCF(84041,84055) = 1
LCM(84041,84055) = ( 84041 × 84055) / 1
LCM(84041,84055) = 7064066255 / 1
LCM(84041,84055) = 7064066255

Least Common Multiple (LCM) of 84041 and 84055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84041 and 84055. First we will calculate the prime factors of 84041 and 84055.

Prime Factorization of 84041

Prime factors of 84041 are 31, 2711. Prime factorization of 84041 in exponential form is:

84041 = 311 × 27111

Prime Factorization of 84055

Prime factors of 84055 are 5, 16811. Prime factorization of 84055 in exponential form is:

84055 = 51 × 168111

Now multiplying the highest exponent prime factors to calculate the LCM of 84041 and 84055.

LCM(84041,84055) = 311 × 27111 × 51 × 168111
LCM(84041,84055) = 7064066255