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What is the Least Common Multiple of 59601 and 59611?

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 59601 and 59611 is 3552875211.

LCM(59601,59611) = 3552875211

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Least Common Multiple of 59601 and 59611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59601 and 59611, than apply into the LCM equation.

GCF(59601,59611) = 1
LCM(59601,59611) = ( 59601 × 59611) / 1
LCM(59601,59611) = 3552875211 / 1
LCM(59601,59611) = 3552875211

Least Common Multiple (LCM) of 59601 and 59611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59601 and 59611. First we will calculate the prime factors of 59601 and 59611.

Prime Factorization of 59601

Prime factors of 59601 are 3, 19867. Prime factorization of 59601 in exponential form is:

59601 = 31 × 198671

Prime Factorization of 59611

Prime factors of 59611 are 59611. Prime factorization of 59611 in exponential form is:

59611 = 596111

Now multiplying the highest exponent prime factors to calculate the LCM of 59601 and 59611.

LCM(59601,59611) = 31 × 198671 × 596111
LCM(59601,59611) = 3552875211