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What is the Least Common Multiple of 62077 and 62091?

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 62091 is 3854423007.

LCM(62077,62091) = 3854423007

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Least Common Multiple of 62077 and 62091 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 62091, than apply into the LCM equation.

GCF(62077,62091) = 1
LCM(62077,62091) = ( 62077 × 62091) / 1
LCM(62077,62091) = 3854423007 / 1
LCM(62077,62091) = 3854423007

Least Common Multiple (LCM) of 62077 and 62091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62077 and 62091. First we will calculate the prime factors of 62077 and 62091.

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 62091

Prime factors of 62091 are 3, 6899. Prime factorization of 62091 in exponential form is:

62091 = 32 × 68991

Now multiplying the highest exponent prime factors to calculate the LCM of 62077 and 62091.

LCM(62077,62091) = 231 × 26991 × 32 × 68991
LCM(62077,62091) = 3854423007