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What is the Least Common Multiple of 60899 and 60914?

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 60899 and 60914 is 3709601686.

LCM(60899,60914) = 3709601686

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Least Common Multiple of 60899 and 60914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60899 and 60914, than apply into the LCM equation.

GCF(60899,60914) = 1
LCM(60899,60914) = ( 60899 × 60914) / 1
LCM(60899,60914) = 3709601686 / 1
LCM(60899,60914) = 3709601686

Least Common Multiple (LCM) of 60899 and 60914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60899 and 60914. First we will calculate the prime factors of 60899 and 60914.

Prime Factorization of 60899

Prime factors of 60899 are 60899. Prime factorization of 60899 in exponential form is:

60899 = 608991

Prime Factorization of 60914

Prime factors of 60914 are 2, 7, 19, 229. Prime factorization of 60914 in exponential form is:

60914 = 21 × 71 × 191 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 60899 and 60914.

LCM(60899,60914) = 608991 × 21 × 71 × 191 × 2291
LCM(60899,60914) = 3709601686