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What is the Least Common Multiple of 84211 and 84218?

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 84211 and 84218 is 7092081998.

LCM(84211,84218) = 7092081998

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Least Common Multiple of 84211 and 84218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84211 and 84218, than apply into the LCM equation.

GCF(84211,84218) = 1
LCM(84211,84218) = ( 84211 × 84218) / 1
LCM(84211,84218) = 7092081998 / 1
LCM(84211,84218) = 7092081998

Least Common Multiple (LCM) of 84211 and 84218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84211 and 84218. First we will calculate the prime factors of 84211 and 84218.

Prime Factorization of 84211

Prime factors of 84211 are 84211. Prime factorization of 84211 in exponential form is:

84211 = 842111

Prime Factorization of 84218

Prime factors of 84218 are 2, 17, 2477. Prime factorization of 84218 in exponential form is:

84218 = 21 × 171 × 24771

Now multiplying the highest exponent prime factors to calculate the LCM of 84211 and 84218.

LCM(84211,84218) = 842111 × 21 × 171 × 24771
LCM(84211,84218) = 7092081998