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What is the Least Common Multiple of 69325 and 69336?

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 69325 and 69336 is 4806718200.

LCM(69325,69336) = 4806718200

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Least Common Multiple of 69325 and 69336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69325 and 69336, than apply into the LCM equation.

GCF(69325,69336) = 1
LCM(69325,69336) = ( 69325 × 69336) / 1
LCM(69325,69336) = 4806718200 / 1
LCM(69325,69336) = 4806718200

Least Common Multiple (LCM) of 69325 and 69336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69325 and 69336. First we will calculate the prime factors of 69325 and 69336.

Prime Factorization of 69325

Prime factors of 69325 are 5, 47, 59. Prime factorization of 69325 in exponential form is:

69325 = 52 × 471 × 591

Prime Factorization of 69336

Prime factors of 69336 are 2, 3, 107. Prime factorization of 69336 in exponential form is:

69336 = 23 × 34 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 69325 and 69336.

LCM(69325,69336) = 52 × 471 × 591 × 23 × 34 × 1071
LCM(69325,69336) = 4806718200