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What is the Least Common Multiple of 88423 and 88438?

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 88423 and 88438 is 7819953274.

LCM(88423,88438) = 7819953274

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Least Common Multiple of 88423 and 88438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88423 and 88438, than apply into the LCM equation.

GCF(88423,88438) = 1
LCM(88423,88438) = ( 88423 × 88438) / 1
LCM(88423,88438) = 7819953274 / 1
LCM(88423,88438) = 7819953274

Least Common Multiple (LCM) of 88423 and 88438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88423 and 88438. First we will calculate the prime factors of 88423 and 88438.

Prime Factorization of 88423

Prime factors of 88423 are 88423. Prime factorization of 88423 in exponential form is:

88423 = 884231

Prime Factorization of 88438

Prime factors of 88438 are 2, 7, 6317. Prime factorization of 88438 in exponential form is:

88438 = 21 × 71 × 63171

Now multiplying the highest exponent prime factors to calculate the LCM of 88423 and 88438.

LCM(88423,88438) = 884231 × 21 × 71 × 63171
LCM(88423,88438) = 7819953274