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What is the Least Common Multiple of 68816 and 68825?

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 68825 is 4736261200.

LCM(68816,68825) = 4736261200

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Least Common Multiple of 68816 and 68825 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 68825, than apply into the LCM equation.

GCF(68816,68825) = 1
LCM(68816,68825) = ( 68816 × 68825) / 1
LCM(68816,68825) = 4736261200 / 1
LCM(68816,68825) = 4736261200

Least Common Multiple (LCM) of 68816 and 68825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68816 and 68825. First we will calculate the prime factors of 68816 and 68825.

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 68825

Prime factors of 68825 are 5, 2753. Prime factorization of 68825 in exponential form is:

68825 = 52 × 27531

Now multiplying the highest exponent prime factors to calculate the LCM of 68816 and 68825.

LCM(68816,68825) = 24 × 111 × 171 × 231 × 52 × 27531
LCM(68816,68825) = 4736261200