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What is the Least Common Multiple of 84220 and 84226?

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 84220 and 84226 is 3546756860.

LCM(84220,84226) = 3546756860

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Least Common Multiple of 84220 and 84226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84220 and 84226, than apply into the LCM equation.

GCF(84220,84226) = 2
LCM(84220,84226) = ( 84220 × 84226) / 2
LCM(84220,84226) = 7093513720 / 2
LCM(84220,84226) = 3546756860

Least Common Multiple (LCM) of 84220 and 84226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84220 and 84226. First we will calculate the prime factors of 84220 and 84226.

Prime Factorization of 84220

Prime factors of 84220 are 2, 5, 4211. Prime factorization of 84220 in exponential form is:

84220 = 22 × 51 × 42111

Prime Factorization of 84226

Prime factors of 84226 are 2, 23, 1831. Prime factorization of 84226 in exponential form is:

84226 = 21 × 231 × 18311

Now multiplying the highest exponent prime factors to calculate the LCM of 84220 and 84226.

LCM(84220,84226) = 22 × 51 × 42111 × 231 × 18311
LCM(84220,84226) = 3546756860