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What is the Least Common Multiple of 59918 and 59929?

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 59918 and 59929 is 3590825822.

LCM(59918,59929) = 3590825822

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Least Common Multiple of 59918 and 59929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59918 and 59929, than apply into the LCM equation.

GCF(59918,59929) = 1
LCM(59918,59929) = ( 59918 × 59929) / 1
LCM(59918,59929) = 3590825822 / 1
LCM(59918,59929) = 3590825822

Least Common Multiple (LCM) of 59918 and 59929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59918 and 59929. First we will calculate the prime factors of 59918 and 59929.

Prime Factorization of 59918

Prime factors of 59918 are 2, 29959. Prime factorization of 59918 in exponential form is:

59918 = 21 × 299591

Prime Factorization of 59929

Prime factors of 59929 are 59929. Prime factorization of 59929 in exponential form is:

59929 = 599291

Now multiplying the highest exponent prime factors to calculate the LCM of 59918 and 59929.

LCM(59918,59929) = 21 × 299591 × 599291
LCM(59918,59929) = 3590825822