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What is the Least Common Multiple of 66990 and 67007?

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 66990 and 67007 is 4488798930.

LCM(66990,67007) = 4488798930

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Least Common Multiple of 66990 and 67007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66990 and 67007, than apply into the LCM equation.

GCF(66990,67007) = 1
LCM(66990,67007) = ( 66990 × 67007) / 1
LCM(66990,67007) = 4488798930 / 1
LCM(66990,67007) = 4488798930

Least Common Multiple (LCM) of 66990 and 67007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66990 and 67007. First we will calculate the prime factors of 66990 and 67007.

Prime Factorization of 66990

Prime factors of 66990 are 2, 3, 5, 7, 11, 29. Prime factorization of 66990 in exponential form is:

66990 = 21 × 31 × 51 × 71 × 111 × 291

Prime Factorization of 67007

Prime factors of 67007 are 37, 1811. Prime factorization of 67007 in exponential form is:

67007 = 371 × 18111

Now multiplying the highest exponent prime factors to calculate the LCM of 66990 and 67007.

LCM(66990,67007) = 21 × 31 × 51 × 71 × 111 × 291 × 371 × 18111
LCM(66990,67007) = 4488798930