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What is the Least Common Multiple of 88026 and 88034?

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 88026 and 88034 is 3874640442.

LCM(88026,88034) = 3874640442

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Least Common Multiple of 88026 and 88034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88026 and 88034, than apply into the LCM equation.

GCF(88026,88034) = 2
LCM(88026,88034) = ( 88026 × 88034) / 2
LCM(88026,88034) = 7749280884 / 2
LCM(88026,88034) = 3874640442

Least Common Multiple (LCM) of 88026 and 88034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88026 and 88034. First we will calculate the prime factors of 88026 and 88034.

Prime Factorization of 88026

Prime factors of 88026 are 2, 3, 17, 863. Prime factorization of 88026 in exponential form is:

88026 = 21 × 31 × 171 × 8631

Prime Factorization of 88034

Prime factors of 88034 are 2, 44017. Prime factorization of 88034 in exponential form is:

88034 = 21 × 440171

Now multiplying the highest exponent prime factors to calculate the LCM of 88026 and 88034.

LCM(88026,88034) = 21 × 31 × 171 × 8631 × 440171
LCM(88026,88034) = 3874640442