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What is the Least Common Multiple of 4066 and 4074?

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 4066 and 4074 is 8282442.

LCM(4066,4074) = 8282442

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Least Common Multiple of 4066 and 4074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4066 and 4074, than apply into the LCM equation.

GCF(4066,4074) = 2
LCM(4066,4074) = ( 4066 × 4074) / 2
LCM(4066,4074) = 16564884 / 2
LCM(4066,4074) = 8282442

Least Common Multiple (LCM) of 4066 and 4074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4066 and 4074. First we will calculate the prime factors of 4066 and 4074.

Prime Factorization of 4066

Prime factors of 4066 are 2, 19, 107. Prime factorization of 4066 in exponential form is:

4066 = 21 × 191 × 1071

Prime Factorization of 4074

Prime factors of 4074 are 2, 3, 7, 97. Prime factorization of 4074 in exponential form is:

4074 = 21 × 31 × 71 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 4066 and 4074.

LCM(4066,4074) = 21 × 191 × 1071 × 31 × 71 × 971
LCM(4066,4074) = 8282442