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What is the Least Common Multiple of 59602 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 59602 and 59611 is 3552934822.

LCM(59602,59611) = 3552934822

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Least Common Multiple of 59602 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 59602 and 59611, than apply into the LCM equation.

GCF(59602,59611) = 1
LCM(59602,59611) = ( 59602 × 59611) / 1
LCM(59602,59611) = 3552934822 / 1
LCM(59602,59611) = 3552934822

Least Common Multiple (LCM) of 59602 and 59611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59602 and 59611. First we will calculate the prime factors of 59602 and 59611.

Prime Factorization of 59602

Prime factors of 59602 are 2, 17, 1753. Prime factorization of 59602 in exponential form is:

59602 = 21 × 171 × 17531

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 59602 and 59611.

LCM(59602,59611) = 21 × 171 × 17531 × 596111
LCM(59602,59611) = 3552934822