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What is the Least Common Multiple of 66788 and 66807?

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 66788 and 66807 is 4461905916.

LCM(66788,66807) = 4461905916

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Least Common Multiple of 66788 and 66807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66788 and 66807, than apply into the LCM equation.

GCF(66788,66807) = 1
LCM(66788,66807) = ( 66788 × 66807) / 1
LCM(66788,66807) = 4461905916 / 1
LCM(66788,66807) = 4461905916

Least Common Multiple (LCM) of 66788 and 66807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66788 and 66807. First we will calculate the prime factors of 66788 and 66807.

Prime Factorization of 66788

Prime factors of 66788 are 2, 59, 283. Prime factorization of 66788 in exponential form is:

66788 = 22 × 591 × 2831

Prime Factorization of 66807

Prime factors of 66807 are 3, 13, 571. Prime factorization of 66807 in exponential form is:

66807 = 32 × 131 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 66788 and 66807.

LCM(66788,66807) = 22 × 591 × 2831 × 32 × 131 × 5711
LCM(66788,66807) = 4461905916