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What is the Least Common Multiple of 62059 and 62078?

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 62059 and 62078 is 3852498602.

LCM(62059,62078) = 3852498602

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Least Common Multiple of 62059 and 62078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62059 and 62078, than apply into the LCM equation.

GCF(62059,62078) = 1
LCM(62059,62078) = ( 62059 × 62078) / 1
LCM(62059,62078) = 3852498602 / 1
LCM(62059,62078) = 3852498602

Least Common Multiple (LCM) of 62059 and 62078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62059 and 62078. First we will calculate the prime factors of 62059 and 62078.

Prime Factorization of 62059

Prime factors of 62059 are 229, 271. Prime factorization of 62059 in exponential form is:

62059 = 2291 × 2711

Prime Factorization of 62078

Prime factors of 62078 are 2, 31039. Prime factorization of 62078 in exponential form is:

62078 = 21 × 310391

Now multiplying the highest exponent prime factors to calculate the LCM of 62059 and 62078.

LCM(62059,62078) = 2291 × 2711 × 21 × 310391
LCM(62059,62078) = 3852498602