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What is the Least Common Multiple of 62138 and 62157?

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 62138 and 62157 is 3862311666.

LCM(62138,62157) = 3862311666

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Least Common Multiple of 62138 and 62157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62138 and 62157, than apply into the LCM equation.

GCF(62138,62157) = 1
LCM(62138,62157) = ( 62138 × 62157) / 1
LCM(62138,62157) = 3862311666 / 1
LCM(62138,62157) = 3862311666

Least Common Multiple (LCM) of 62138 and 62157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62138 and 62157. First we will calculate the prime factors of 62138 and 62157.

Prime Factorization of 62138

Prime factors of 62138 are 2, 31069. Prime factorization of 62138 in exponential form is:

62138 = 21 × 310691

Prime Factorization of 62157

Prime factors of 62157 are 3, 20719. Prime factorization of 62157 in exponential form is:

62157 = 31 × 207191

Now multiplying the highest exponent prime factors to calculate the LCM of 62138 and 62157.

LCM(62138,62157) = 21 × 310691 × 31 × 207191
LCM(62138,62157) = 3862311666