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What is the Least Common Multiple of 62059 and 62067?

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 62067 is 3851815953.

LCM(62059,62067) = 3851815953

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Least Common Multiple of 62059 and 62067 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 62067, than apply into the LCM equation.

GCF(62059,62067) = 1
LCM(62059,62067) = ( 62059 × 62067) / 1
LCM(62059,62067) = 3851815953 / 1
LCM(62059,62067) = 3851815953

Least Common Multiple (LCM) of 62059 and 62067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62059 and 62067. First we will calculate the prime factors of 62059 and 62067.

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 62067

Prime factors of 62067 are 3, 17, 1217. Prime factorization of 62067 in exponential form is:

62067 = 31 × 171 × 12171

Now multiplying the highest exponent prime factors to calculate the LCM of 62059 and 62067.

LCM(62059,62067) = 2291 × 2711 × 31 × 171 × 12171
LCM(62059,62067) = 3851815953