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What is the Least Common Multiple of 66946 and 66956?

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 66946 and 66956 is 2241218188.

LCM(66946,66956) = 2241218188

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Least Common Multiple of 66946 and 66956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66946 and 66956, than apply into the LCM equation.

GCF(66946,66956) = 2
LCM(66946,66956) = ( 66946 × 66956) / 2
LCM(66946,66956) = 4482436376 / 2
LCM(66946,66956) = 2241218188

Least Common Multiple (LCM) of 66946 and 66956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66946 and 66956. First we will calculate the prime factors of 66946 and 66956.

Prime Factorization of 66946

Prime factors of 66946 are 2, 11, 17, 179. Prime factorization of 66946 in exponential form is:

66946 = 21 × 111 × 171 × 1791

Prime Factorization of 66956

Prime factors of 66956 are 2, 19, 881. Prime factorization of 66956 in exponential form is:

66956 = 22 × 191 × 8811

Now multiplying the highest exponent prime factors to calculate the LCM of 66946 and 66956.

LCM(66946,66956) = 22 × 111 × 171 × 1791 × 191 × 8811
LCM(66946,66956) = 2241218188