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What is the Least Common Multiple of 62788 and 62807?

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 62788 and 62807 is 3943525916.

LCM(62788,62807) = 3943525916

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Least Common Multiple of 62788 and 62807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62788 and 62807, than apply into the LCM equation.

GCF(62788,62807) = 1
LCM(62788,62807) = ( 62788 × 62807) / 1
LCM(62788,62807) = 3943525916 / 1
LCM(62788,62807) = 3943525916

Least Common Multiple (LCM) of 62788 and 62807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62788 and 62807. First we will calculate the prime factors of 62788 and 62807.

Prime Factorization of 62788

Prime factors of 62788 are 2, 11, 1427. Prime factorization of 62788 in exponential form is:

62788 = 22 × 111 × 14271

Prime Factorization of 62807

Prime factors of 62807 are 181, 347. Prime factorization of 62807 in exponential form is:

62807 = 1811 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 62788 and 62807.

LCM(62788,62807) = 22 × 111 × 14271 × 1811 × 3471
LCM(62788,62807) = 3943525916