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What is the Least Common Multiple of 62066 and 62077?

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 62066 and 62077 is 3852871082.

LCM(62066,62077) = 3852871082

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Least Common Multiple of 62066 and 62077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62066 and 62077, than apply into the LCM equation.

GCF(62066,62077) = 1
LCM(62066,62077) = ( 62066 × 62077) / 1
LCM(62066,62077) = 3852871082 / 1
LCM(62066,62077) = 3852871082

Least Common Multiple (LCM) of 62066 and 62077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62066 and 62077. First we will calculate the prime factors of 62066 and 62077.

Prime Factorization of 62066

Prime factors of 62066 are 2, 31033. Prime factorization of 62066 in exponential form is:

62066 = 21 × 310331

Prime Factorization of 62077

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

62077 = 231 × 26991

Now multiplying the highest exponent prime factors to calculate the LCM of 62066 and 62077.

LCM(62066,62077) = 21 × 310331 × 231 × 26991
LCM(62066,62077) = 3852871082