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What is the Least Common Multiple of 59927 and 59937?

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 59927 and 59937 is 3591844599.

LCM(59927,59937) = 3591844599

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Least Common Multiple of 59927 and 59937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59927 and 59937, than apply into the LCM equation.

GCF(59927,59937) = 1
LCM(59927,59937) = ( 59927 × 59937) / 1
LCM(59927,59937) = 3591844599 / 1
LCM(59927,59937) = 3591844599

Least Common Multiple (LCM) of 59927 and 59937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59927 and 59937. First we will calculate the prime factors of 59927 and 59937.

Prime Factorization of 59927

Prime factors of 59927 are 7, 1223. Prime factorization of 59927 in exponential form is:

59927 = 72 × 12231

Prime Factorization of 59937

Prime factors of 59937 are 3, 19979. Prime factorization of 59937 in exponential form is:

59937 = 31 × 199791

Now multiplying the highest exponent prime factors to calculate the LCM of 59927 and 59937.

LCM(59927,59937) = 72 × 12231 × 31 × 199791
LCM(59927,59937) = 3591844599