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What is the Least Common Multiple of 69322 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 69322 and 69336 is 2403255096.

LCM(69322,69336) = 2403255096

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Least Common Multiple of 69322 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 69322 and 69336, than apply into the LCM equation.

GCF(69322,69336) = 2
LCM(69322,69336) = ( 69322 × 69336) / 2
LCM(69322,69336) = 4806510192 / 2
LCM(69322,69336) = 2403255096

Least Common Multiple (LCM) of 69322 and 69336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69322 and 69336. First we will calculate the prime factors of 69322 and 69336.

Prime Factorization of 69322

Prime factors of 69322 are 2, 11, 23, 137. Prime factorization of 69322 in exponential form is:

69322 = 21 × 111 × 231 × 1371

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 69322 and 69336.

LCM(69322,69336) = 23 × 111 × 231 × 1371 × 34 × 1071
LCM(69322,69336) = 2403255096