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What is the Least Common Multiple of 66061 and 66074?

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 66061 and 66074 is 4364914514.

LCM(66061,66074) = 4364914514

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Least Common Multiple of 66061 and 66074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66061 and 66074, than apply into the LCM equation.

GCF(66061,66074) = 1
LCM(66061,66074) = ( 66061 × 66074) / 1
LCM(66061,66074) = 4364914514 / 1
LCM(66061,66074) = 4364914514

Least Common Multiple (LCM) of 66061 and 66074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66061 and 66074. First we will calculate the prime factors of 66061 and 66074.

Prime Factorization of 66061

Prime factors of 66061 are 31, 2131. Prime factorization of 66061 in exponential form is:

66061 = 311 × 21311

Prime Factorization of 66074

Prime factors of 66074 are 2, 33037. Prime factorization of 66074 in exponential form is:

66074 = 21 × 330371

Now multiplying the highest exponent prime factors to calculate the LCM of 66061 and 66074.

LCM(66061,66074) = 311 × 21311 × 21 × 330371
LCM(66061,66074) = 4364914514