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What is the Least Common Multiple of 60605 and 60611?

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 60605 and 60611 is 3673329655.

LCM(60605,60611) = 3673329655

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Least Common Multiple of 60605 and 60611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60605 and 60611, than apply into the LCM equation.

GCF(60605,60611) = 1
LCM(60605,60611) = ( 60605 × 60611) / 1
LCM(60605,60611) = 3673329655 / 1
LCM(60605,60611) = 3673329655

Least Common Multiple (LCM) of 60605 and 60611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60605 and 60611. First we will calculate the prime factors of 60605 and 60611.

Prime Factorization of 60605

Prime factors of 60605 are 5, 17, 23, 31. Prime factorization of 60605 in exponential form is:

60605 = 51 × 171 × 231 × 311

Prime Factorization of 60611

Prime factors of 60611 are 60611. Prime factorization of 60611 in exponential form is:

60611 = 606111

Now multiplying the highest exponent prime factors to calculate the LCM of 60605 and 60611.

LCM(60605,60611) = 51 × 171 × 231 × 311 × 606111
LCM(60605,60611) = 3673329655