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What is the Least Common Multiple of 56602 and 56611?

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 56602 and 56611 is 3204295822.

LCM(56602,56611) = 3204295822

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Least Common Multiple of 56602 and 56611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56602 and 56611, than apply into the LCM equation.

GCF(56602,56611) = 1
LCM(56602,56611) = ( 56602 × 56611) / 1
LCM(56602,56611) = 3204295822 / 1
LCM(56602,56611) = 3204295822

Least Common Multiple (LCM) of 56602 and 56611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56602 and 56611. First we will calculate the prime factors of 56602 and 56611.

Prime Factorization of 56602

Prime factors of 56602 are 2, 7, 13, 311. Prime factorization of 56602 in exponential form is:

56602 = 21 × 71 × 131 × 3111

Prime Factorization of 56611

Prime factors of 56611 are 56611. Prime factorization of 56611 in exponential form is:

56611 = 566111

Now multiplying the highest exponent prime factors to calculate the LCM of 56602 and 56611.

LCM(56602,56611) = 21 × 71 × 131 × 3111 × 566111
LCM(56602,56611) = 3204295822