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What is the Least Common Multiple of 79090 and 79097?

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 79090 and 79097 is 6255781730.

LCM(79090,79097) = 6255781730

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Least Common Multiple of 79090 and 79097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79090 and 79097, than apply into the LCM equation.

GCF(79090,79097) = 1
LCM(79090,79097) = ( 79090 × 79097) / 1
LCM(79090,79097) = 6255781730 / 1
LCM(79090,79097) = 6255781730

Least Common Multiple (LCM) of 79090 and 79097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79090 and 79097. First we will calculate the prime factors of 79090 and 79097.

Prime Factorization of 79090

Prime factors of 79090 are 2, 5, 11, 719. Prime factorization of 79090 in exponential form is:

79090 = 21 × 51 × 111 × 7191

Prime Factorization of 79097

Prime factors of 79097 are 19, 23, 181. Prime factorization of 79097 in exponential form is:

79097 = 191 × 231 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 79090 and 79097.

LCM(79090,79097) = 21 × 51 × 111 × 7191 × 191 × 231 × 1811
LCM(79090,79097) = 6255781730