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What is the Least Common Multiple of 62155 and 62164?

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 62155 and 62164 is 3863803420.

LCM(62155,62164) = 3863803420

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Least Common Multiple of 62155 and 62164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62155 and 62164, than apply into the LCM equation.

GCF(62155,62164) = 1
LCM(62155,62164) = ( 62155 × 62164) / 1
LCM(62155,62164) = 3863803420 / 1
LCM(62155,62164) = 3863803420

Least Common Multiple (LCM) of 62155 and 62164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62155 and 62164. First we will calculate the prime factors of 62155 and 62164.

Prime Factorization of 62155

Prime factors of 62155 are 5, 31, 401. Prime factorization of 62155 in exponential form is:

62155 = 51 × 311 × 4011

Prime Factorization of 62164

Prime factors of 62164 are 2, 15541. Prime factorization of 62164 in exponential form is:

62164 = 22 × 155411

Now multiplying the highest exponent prime factors to calculate the LCM of 62155 and 62164.

LCM(62155,62164) = 51 × 311 × 4011 × 22 × 155411
LCM(62155,62164) = 3863803420