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What is the Least Common Multiple of 59807 and 59811?

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 59807 and 59811 is 3577116477.

LCM(59807,59811) = 3577116477

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Least Common Multiple of 59807 and 59811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59807 and 59811, than apply into the LCM equation.

GCF(59807,59811) = 1
LCM(59807,59811) = ( 59807 × 59811) / 1
LCM(59807,59811) = 3577116477 / 1
LCM(59807,59811) = 3577116477

Least Common Multiple (LCM) of 59807 and 59811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59807 and 59811. First we will calculate the prime factors of 59807 and 59811.

Prime Factorization of 59807

Prime factors of 59807 are 11, 5437. Prime factorization of 59807 in exponential form is:

59807 = 111 × 54371

Prime Factorization of 59811

Prime factors of 59811 are 3, 19937. Prime factorization of 59811 in exponential form is:

59811 = 31 × 199371

Now multiplying the highest exponent prime factors to calculate the LCM of 59807 and 59811.

LCM(59807,59811) = 111 × 54371 × 31 × 199371
LCM(59807,59811) = 3577116477