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What is the Least Common Multiple of 69350 and 69369?

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 69350 and 69369 is 253196850.

LCM(69350,69369) = 253196850

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Least Common Multiple of 69350 and 69369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69350 and 69369, than apply into the LCM equation.

GCF(69350,69369) = 19
LCM(69350,69369) = ( 69350 × 69369) / 19
LCM(69350,69369) = 4810740150 / 19
LCM(69350,69369) = 253196850

Least Common Multiple (LCM) of 69350 and 69369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69350 and 69369. First we will calculate the prime factors of 69350 and 69369.

Prime Factorization of 69350

Prime factors of 69350 are 2, 5, 19, 73. Prime factorization of 69350 in exponential form is:

69350 = 21 × 52 × 191 × 731

Prime Factorization of 69369

Prime factors of 69369 are 3, 19, 1217. Prime factorization of 69369 in exponential form is:

69369 = 31 × 191 × 12171

Now multiplying the highest exponent prime factors to calculate the LCM of 69350 and 69369.

LCM(69350,69369) = 21 × 52 × 191 × 731 × 31 × 12171
LCM(69350,69369) = 253196850