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What is the Least Common Multiple of 69023 and 69040?

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 69023 and 69040 is 4765347920.

LCM(69023,69040) = 4765347920

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Least Common Multiple of 69023 and 69040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69023 and 69040, than apply into the LCM equation.

GCF(69023,69040) = 1
LCM(69023,69040) = ( 69023 × 69040) / 1
LCM(69023,69040) = 4765347920 / 1
LCM(69023,69040) = 4765347920

Least Common Multiple (LCM) of 69023 and 69040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69023 and 69040. First we will calculate the prime factors of 69023 and 69040.

Prime Factorization of 69023

Prime factors of 69023 are 23, 3001. Prime factorization of 69023 in exponential form is:

69023 = 231 × 30011

Prime Factorization of 69040

Prime factors of 69040 are 2, 5, 863. Prime factorization of 69040 in exponential form is:

69040 = 24 × 51 × 8631

Now multiplying the highest exponent prime factors to calculate the LCM of 69023 and 69040.

LCM(69023,69040) = 231 × 30011 × 24 × 51 × 8631
LCM(69023,69040) = 4765347920