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What is the Least Common Multiple of 62077 and 62083?

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 62077 and 62083 is 3853926391.

LCM(62077,62083) = 3853926391

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Least Common Multiple of 62077 and 62083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62077 and 62083, than apply into the LCM equation.

GCF(62077,62083) = 1
LCM(62077,62083) = ( 62077 × 62083) / 1
LCM(62077,62083) = 3853926391 / 1
LCM(62077,62083) = 3853926391

Least Common Multiple (LCM) of 62077 and 62083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62077 and 62083. First we will calculate the prime factors of 62077 and 62083.

Prime Factorization of 62077

Prime factors of 62077 are 23, 2699. Prime factorization of 62077 in exponential form is:

62077 = 231 × 26991

Prime Factorization of 62083

Prime factors of 62083 are 7, 181. Prime factorization of 62083 in exponential form is:

62083 = 73 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 62077 and 62083.

LCM(62077,62083) = 231 × 26991 × 73 × 1811
LCM(62077,62083) = 3853926391