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What is the Least Common Multiple of 62879 and 62884?

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 62884 is 3954083036.

LCM(62879,62884) = 3954083036

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Least Common Multiple of 62879 and 62884 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 62884, than apply into the LCM equation.

GCF(62879,62884) = 1
LCM(62879,62884) = ( 62879 × 62884) / 1
LCM(62879,62884) = 3954083036 / 1
LCM(62879,62884) = 3954083036

Least Common Multiple (LCM) of 62879 and 62884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62879 and 62884. First we will calculate the prime factors of 62879 and 62884.

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 62884

Prime factors of 62884 are 2, 79, 199. Prime factorization of 62884 in exponential form is:

62884 = 22 × 791 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 62879 and 62884.

LCM(62879,62884) = 2271 × 2771 × 22 × 791 × 1991
LCM(62879,62884) = 3954083036