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What is the Least Common Multiple of 66990 and 67009?

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 67009 is 4488932910.

LCM(66990,67009) = 4488932910

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Least Common Multiple of 66990 and 67009 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 67009, than apply into the LCM equation.

GCF(66990,67009) = 1
LCM(66990,67009) = ( 66990 × 67009) / 1
LCM(66990,67009) = 4488932910 / 1
LCM(66990,67009) = 4488932910

Least Common Multiple (LCM) of 66990 and 67009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66990 and 67009. First we will calculate the prime factors of 66990 and 67009.

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 67009

Prime factors of 67009 are 113, 593. Prime factorization of 67009 in exponential form is:

67009 = 1131 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 66990 and 67009.

LCM(66990,67009) = 21 × 31 × 51 × 71 × 111 × 291 × 1131 × 5931
LCM(66990,67009) = 4488932910