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What is the Least Common Multiple of 30097 and 30107?

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 30097 and 30107 is 906130379.

LCM(30097,30107) = 906130379

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Least Common Multiple of 30097 and 30107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30097 and 30107, than apply into the LCM equation.

GCF(30097,30107) = 1
LCM(30097,30107) = ( 30097 × 30107) / 1
LCM(30097,30107) = 906130379 / 1
LCM(30097,30107) = 906130379

Least Common Multiple (LCM) of 30097 and 30107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30097 and 30107. First we will calculate the prime factors of 30097 and 30107.

Prime Factorization of 30097

Prime factors of 30097 are 30097. Prime factorization of 30097 in exponential form is:

30097 = 300971

Prime Factorization of 30107

Prime factors of 30107 are 7, 11, 17, 23. Prime factorization of 30107 in exponential form is:

30107 = 71 × 111 × 171 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 30097 and 30107.

LCM(30097,30107) = 300971 × 71 × 111 × 171 × 231
LCM(30097,30107) = 906130379