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What is the Least Common Multiple of 91090 and 91097?

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 91090 and 91097 is 8298025730.

LCM(91090,91097) = 8298025730

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Least Common Multiple of 91090 and 91097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91090 and 91097, than apply into the LCM equation.

GCF(91090,91097) = 1
LCM(91090,91097) = ( 91090 × 91097) / 1
LCM(91090,91097) = 8298025730 / 1
LCM(91090,91097) = 8298025730

Least Common Multiple (LCM) of 91090 and 91097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91090 and 91097. First we will calculate the prime factors of 91090 and 91097.

Prime Factorization of 91090

Prime factors of 91090 are 2, 5, 9109. Prime factorization of 91090 in exponential form is:

91090 = 21 × 51 × 91091

Prime Factorization of 91097

Prime factors of 91097 are 91097. Prime factorization of 91097 in exponential form is:

91097 = 910971

Now multiplying the highest exponent prime factors to calculate the LCM of 91090 and 91097.

LCM(91090,91097) = 21 × 51 × 91091 × 910971
LCM(91090,91097) = 8298025730