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What is the Least Common Multiple of 66980 and 66999?

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 66980 and 66999 is 4487593020.

LCM(66980,66999) = 4487593020

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Least Common Multiple of 66980 and 66999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66980 and 66999, than apply into the LCM equation.

GCF(66980,66999) = 1
LCM(66980,66999) = ( 66980 × 66999) / 1
LCM(66980,66999) = 4487593020 / 1
LCM(66980,66999) = 4487593020

Least Common Multiple (LCM) of 66980 and 66999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66980 and 66999. First we will calculate the prime factors of 66980 and 66999.

Prime Factorization of 66980

Prime factors of 66980 are 2, 5, 17, 197. Prime factorization of 66980 in exponential form is:

66980 = 22 × 51 × 171 × 1971

Prime Factorization of 66999

Prime factors of 66999 are 3, 23, 971. Prime factorization of 66999 in exponential form is:

66999 = 31 × 231 × 9711

Now multiplying the highest exponent prime factors to calculate the LCM of 66980 and 66999.

LCM(66980,66999) = 22 × 51 × 171 × 1971 × 31 × 231 × 9711
LCM(66980,66999) = 4487593020