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What is the Least Common Multiple of 88222 and 88241?

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 88222 and 88241 is 7784797502.

LCM(88222,88241) = 7784797502

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Least Common Multiple of 88222 and 88241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88222 and 88241, than apply into the LCM equation.

GCF(88222,88241) = 1
LCM(88222,88241) = ( 88222 × 88241) / 1
LCM(88222,88241) = 7784797502 / 1
LCM(88222,88241) = 7784797502

Least Common Multiple (LCM) of 88222 and 88241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88222 and 88241. First we will calculate the prime factors of 88222 and 88241.

Prime Factorization of 88222

Prime factors of 88222 are 2, 44111. Prime factorization of 88222 in exponential form is:

88222 = 21 × 441111

Prime Factorization of 88241

Prime factors of 88241 are 88241. Prime factorization of 88241 in exponential form is:

88241 = 882411

Now multiplying the highest exponent prime factors to calculate the LCM of 88222 and 88241.

LCM(88222,88241) = 21 × 441111 × 882411
LCM(88222,88241) = 7784797502