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What is the Least Common Multiple of 68816 and 68831?

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 68816 and 68831 is 4736674096.

LCM(68816,68831) = 4736674096

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Least Common Multiple of 68816 and 68831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68816 and 68831, than apply into the LCM equation.

GCF(68816,68831) = 1
LCM(68816,68831) = ( 68816 × 68831) / 1
LCM(68816,68831) = 4736674096 / 1
LCM(68816,68831) = 4736674096

Least Common Multiple (LCM) of 68816 and 68831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68816 and 68831. First we will calculate the prime factors of 68816 and 68831.

Prime Factorization of 68816

Prime factors of 68816 are 2, 11, 17, 23. Prime factorization of 68816 in exponential form is:

68816 = 24 × 111 × 171 × 231

Prime Factorization of 68831

Prime factors of 68831 are 7, 9833. Prime factorization of 68831 in exponential form is:

68831 = 71 × 98331

Now multiplying the highest exponent prime factors to calculate the LCM of 68816 and 68831.

LCM(68816,68831) = 24 × 111 × 171 × 231 × 71 × 98331
LCM(68816,68831) = 4736674096