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What is the Least Common Multiple of 62077 and 62087?

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 62087 is 3854174699.

LCM(62077,62087) = 3854174699

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Least Common Multiple of 62077 and 62087 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 62087, than apply into the LCM equation.

GCF(62077,62087) = 1
LCM(62077,62087) = ( 62077 × 62087) / 1
LCM(62077,62087) = 3854174699 / 1
LCM(62077,62087) = 3854174699

Least Common Multiple (LCM) of 62077 and 62087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62077 and 62087. First we will calculate the prime factors of 62077 and 62087.

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 62087

Prime factors of 62087 are 47, 1321. Prime factorization of 62087 in exponential form is:

62087 = 471 × 13211

Now multiplying the highest exponent prime factors to calculate the LCM of 62077 and 62087.

LCM(62077,62087) = 231 × 26991 × 471 × 13211
LCM(62077,62087) = 3854174699