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What is the Least Common Multiple of 88426 and 88434?

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 88426 and 88434 is 3909932442.

LCM(88426,88434) = 3909932442

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Least Common Multiple of 88426 and 88434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88426 and 88434, than apply into the LCM equation.

GCF(88426,88434) = 2
LCM(88426,88434) = ( 88426 × 88434) / 2
LCM(88426,88434) = 7819864884 / 2
LCM(88426,88434) = 3909932442

Least Common Multiple (LCM) of 88426 and 88434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88426 and 88434. First we will calculate the prime factors of 88426 and 88434.

Prime Factorization of 88426

Prime factors of 88426 are 2, 13, 19, 179. Prime factorization of 88426 in exponential form is:

88426 = 21 × 131 × 191 × 1791

Prime Factorization of 88434

Prime factors of 88434 are 2, 3, 17. Prime factorization of 88434 in exponential form is:

88434 = 21 × 32 × 173

Now multiplying the highest exponent prime factors to calculate the LCM of 88426 and 88434.

LCM(88426,88434) = 21 × 131 × 191 × 1791 × 32 × 173
LCM(88426,88434) = 3909932442