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What is the Least Common Multiple of 88421 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 88421 and 88434 is 7819422714.

LCM(88421,88434) = 7819422714

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Least Common Multiple of 88421 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 88421 and 88434, than apply into the LCM equation.

GCF(88421,88434) = 1
LCM(88421,88434) = ( 88421 × 88434) / 1
LCM(88421,88434) = 7819422714 / 1
LCM(88421,88434) = 7819422714

Least Common Multiple (LCM) of 88421 and 88434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88421 and 88434. First we will calculate the prime factors of 88421 and 88434.

Prime Factorization of 88421

Prime factors of 88421 are 29, 3049. Prime factorization of 88421 in exponential form is:

88421 = 291 × 30491

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 88421 and 88434.

LCM(88421,88434) = 291 × 30491 × 21 × 32 × 173
LCM(88421,88434) = 7819422714