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What is the Least Common Multiple of 62879 and 62892?

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 62879 and 62892 is 3954586068.

LCM(62879,62892) = 3954586068

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Least Common Multiple of 62879 and 62892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62879 and 62892, than apply into the LCM equation.

GCF(62879,62892) = 1
LCM(62879,62892) = ( 62879 × 62892) / 1
LCM(62879,62892) = 3954586068 / 1
LCM(62879,62892) = 3954586068

Least Common Multiple (LCM) of 62879 and 62892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62879 and 62892. First we will calculate the prime factors of 62879 and 62892.

Prime Factorization of 62879

Prime factors of 62879 are 227, 277. Prime factorization of 62879 in exponential form is:

62879 = 2271 × 2771

Prime Factorization of 62892

Prime factors of 62892 are 2, 3, 1747. Prime factorization of 62892 in exponential form is:

62892 = 22 × 32 × 17471

Now multiplying the highest exponent prime factors to calculate the LCM of 62879 and 62892.

LCM(62879,62892) = 2271 × 2771 × 22 × 32 × 17471
LCM(62879,62892) = 3954586068