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What is the Least Common Multiple of 63604 and 63611?

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 63604 and 63611 is 4045914044.

LCM(63604,63611) = 4045914044

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Least Common Multiple of 63604 and 63611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63604 and 63611, than apply into the LCM equation.

GCF(63604,63611) = 1
LCM(63604,63611) = ( 63604 × 63611) / 1
LCM(63604,63611) = 4045914044 / 1
LCM(63604,63611) = 4045914044

Least Common Multiple (LCM) of 63604 and 63611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63604 and 63611. First we will calculate the prime factors of 63604 and 63611.

Prime Factorization of 63604

Prime factors of 63604 are 2, 15901. Prime factorization of 63604 in exponential form is:

63604 = 22 × 159011

Prime Factorization of 63611

Prime factors of 63611 are 63611. Prime factorization of 63611 in exponential form is:

63611 = 636111

Now multiplying the highest exponent prime factors to calculate the LCM of 63604 and 63611.

LCM(63604,63611) = 22 × 159011 × 636111
LCM(63604,63611) = 4045914044