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What is the Least Common Multiple of 60091 and 60097?

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 60091 and 60097 is 3611288827.

LCM(60091,60097) = 3611288827

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Least Common Multiple of 60091 and 60097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60091 and 60097, than apply into the LCM equation.

GCF(60091,60097) = 1
LCM(60091,60097) = ( 60091 × 60097) / 1
LCM(60091,60097) = 3611288827 / 1
LCM(60091,60097) = 3611288827

Least Common Multiple (LCM) of 60091 and 60097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60091 and 60097. First we will calculate the prime factors of 60091 and 60097.

Prime Factorization of 60091

Prime factors of 60091 are 60091. Prime factorization of 60091 in exponential form is:

60091 = 600911

Prime Factorization of 60097

Prime factors of 60097 are 19, 3163. Prime factorization of 60097 in exponential form is:

60097 = 191 × 31631

Now multiplying the highest exponent prime factors to calculate the LCM of 60091 and 60097.

LCM(60091,60097) = 600911 × 191 × 31631
LCM(60091,60097) = 3611288827