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What is the Least Common Multiple of 68884 and 68890?

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 68884 and 68890 is 2372709380.

LCM(68884,68890) = 2372709380

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Least Common Multiple of 68884 and 68890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68884 and 68890, than apply into the LCM equation.

GCF(68884,68890) = 2
LCM(68884,68890) = ( 68884 × 68890) / 2
LCM(68884,68890) = 4745418760 / 2
LCM(68884,68890) = 2372709380

Least Common Multiple (LCM) of 68884 and 68890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68884 and 68890. First we will calculate the prime factors of 68884 and 68890.

Prime Factorization of 68884

Prime factors of 68884 are 2, 17, 1013. Prime factorization of 68884 in exponential form is:

68884 = 22 × 171 × 10131

Prime Factorization of 68890

Prime factors of 68890 are 2, 5, 83. Prime factorization of 68890 in exponential form is:

68890 = 21 × 51 × 832

Now multiplying the highest exponent prime factors to calculate the LCM of 68884 and 68890.

LCM(68884,68890) = 22 × 171 × 10131 × 51 × 832
LCM(68884,68890) = 2372709380