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What is the Least Common Multiple of 59077 and 59093?

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 59077 and 59093 is 3491037161.

LCM(59077,59093) = 3491037161

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Least Common Multiple of 59077 and 59093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59077 and 59093, than apply into the LCM equation.

GCF(59077,59093) = 1
LCM(59077,59093) = ( 59077 × 59093) / 1
LCM(59077,59093) = 3491037161 / 1
LCM(59077,59093) = 3491037161

Least Common Multiple (LCM) of 59077 and 59093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59077 and 59093. First we will calculate the prime factors of 59077 and 59093.

Prime Factorization of 59077

Prime factors of 59077 are 59077. Prime factorization of 59077 in exponential form is:

59077 = 590771

Prime Factorization of 59093

Prime factors of 59093 are 59093. Prime factorization of 59093 in exponential form is:

59093 = 590931

Now multiplying the highest exponent prime factors to calculate the LCM of 59077 and 59093.

LCM(59077,59093) = 590771 × 590931
LCM(59077,59093) = 3491037161